2000 (
two thousand) is the natural number following 1999 and preceding 2001.
|
2000
|
|---|
| Cardinal | 2000
two thousand
|
| Ordinal | 2000th
two thousandth
|
| Factorization |
|
| Roman numeral | MM
|
| Binary | 11111010000
|
| Hexadecimal | 7D0
|
See also: millennium, year
2000 AD, Y2K.
Two thousand is the highest number expressible using only two unmodified characters in roman numerals (MM).
Two thousand is also:
* In the name of the products Lever 2000 and Grecian 2000, not to mention Windows 2000
* In
Star Trek, the registry number of the USS Excelsior, NX-2000 in
Star Trek III: The Search for Spock, and NCC-2000 commanded by Hikaru Sulu in
Star Trek VI: The Undiscovered Country.
Selected numbers in the range 2001-2999
*
2001 - sphenic number
*
2003 - Sophie Germain prime
*
2006 - Current year (Gregorian Calendar)
*
2016 - triangular number
*
2017 - Mertens function zero
*
2020 - sum of the totient function for the first 81 integers
*
2024 - tetrahedral number
*
2025 - sum of the cubes of the first nine integers, 45^2, centered octagonal number
*
2027 - safe prime
*
2030 = 21² + 22² + 23² + 24² = 25² + 26² + 27²
*
2031 - centered pentagonal number
*
2039 - Sophie Germain prime, safe prime
*
2047 - super-Poulet number, Woodall number, decagonal number
*
2048 - power of two
*
2056 - magic constant of
n×
n magic square and
n-Queens Problem for
n = 16.
*
2060 - sum of the totient function for the first 82 integers
*
2063 - Sophie Germain prime, safe prime
*
2069 - Sophie Germain prime
*
2070 - pronic number
*
2080 - triangular number
*
2093 - Mertens function zero
*
2095 - Mertens function zero
*
2096 - Mertens function zero
*
2097 - Mertens function zero
*
2099 - Mertens function zero, safe prime, highly cototient number
*
2100 - Mertens function zero
*
2101 - centered heptagonal number
*
2107 - member of a Ruth-Aaron pair with 2108 (first definition)
*
2108 - member of a Ruth-Aaron pair with 2107 (first definition)
*
2109 - square pyramidal number
*
2112 - The break-through album of the band Rush
*
2113 - Mertens function zero
*
2116 = 46^2
*
2117 - Mertens function zero
*
2119 - Mertens function zero
*
2120 - Mertens function zero
*
2122 - Mertens function zero
*
2125 - nonagonal number
*
2127 - sum of the first 34 primes
*
2129 - Sophie Germain prime
*
2135 - Mertens function zero
*
2136 - Mertens function zero
*
2138 - Mertens function zero
*
2141 - Sophie Germain prime
*
2142 - sum of the totient function for the first 83 integers
*
2145 - triangular number
*
2162 - pronic number
*
2166 - sum of the totient function for the first 84 integers
*
2169 - Leyland number
*
2171 - Mertens function zero
*
2172 - Mertens function zero
*
2175 - smallest number requiring 143 seventh powers for Waring representation
*
2176 - pentagonal pyramidal number, centered pentagonal number
*
2179 - Wedderburn-Etherington number
*
2187 - vampire number, 3^7
*
2188 - Motzkin number
*
2197 = 13^3
*
2205 - odd abundant number
*
2207 - safe prime, Lucas prime
*
2208 - Keith number
*
2209 = 47^2, centered octagonal number
*
2211 - triangular number
*
2223 - Kaprekar number
*
2230 - sum of the totient function for the first 85 integers
*
2232 - decagonal number
*
2255 - octahedral number
*
2256 - pronic number
*
2269 - cuban prime
*
2272 - sum of the totient function for the first 86 integers
*
2273 - Sophie Germain prime
*
2276 - sum of the first 35 primes, centered heptagonal number
*
2278 - triangular number
*
2287 - balanced prime
*
2294 - Mertens function zero
*
2295 - Mertens function zero
*
2296 - Mertens function zero
*
2299 - member of a Ruth-Aaron pair with 2300 (first definition)
*
2300 - tetrahedral number, member of a Ruth-Aaron pair with 2299 (first definition)
*
2301 - nonagonal number
*
2304 = 48^2
*
2306 - Mertens function zero
*
2309 - primorial prime, Mertens function zero, highly cototient number
*
2310 - 5th primorial
*
2311 - primorial prime
*
2321 - Mertens function zero
*
2322 - Mertens function zero
*
2326 - centered pentagonal number
*
2328 - sum of the totient function for the first 87 integers
*
2331 - centered cube number
*
2338 - Mertens function zero
*
2339 - Sophie Germain prime
*
2346 - triangular number
*
2351 - Sophie Germain prime
*
2352 - pronic number
*
2357 - Smarandache-Wellin prime
*
2368 - sum of the totient function for the first 88 integers
*
2378 - Pell number
*
2393 - Sophie Germain prime
*
2397 - sum of the squares of the first ten primes
*
2399 - Sophie Germain prime
*
2400 - perfect score on
SAT tests administered after 2005
*
2401 = 7^4 = 49^2, centered octagonal number
*
2415 - triangular number
*
2417 - balanced prime
*
2425 - decagonal number
*
2427 - sum of the first 36 primes
*
2437 - cuban prime
*
2447 - safe prime
*
2450 - pronic number
*
2456 - sum of the totient function for the first 89 integers
*
2458 - centered heptagonal number
*
2459 - Sophie Germain prime, safe prime
*
2465 - magic constant of
n×
n magic square and
n-Queens Problem for
n = 17, Carmichael number
*
2470 - square pyramidal number
*
2480 - sum of the totient function for the first 90 integers
*
2481 - centered pentagonal number
*
2484 - nonagonal number
*
2485 - triangular number
*
2500 = 50^2
*
2501 - Mertens function zero
*
2502 - Mertens function zero
*
2513 - member of the Padovan sequence
*
2517 - Mertens function zero
*
2520 - highly composite number; smallest number divisible by all numbers up to ten; colossally abundant number; Harshad number in several bases
*
2522 - Mertens function zero
*
2523 - Mertens function zero
*
2524 - Mertens function zero
*
2525 - Mertens function zero
*
2530 - Mertens function zero, Leyland number
*
2533 - Mertens function zero
*
2537 - Mertens function zero
*
2538 - Mertens function zero
*
2543 - Sophie Germain prime
*
2549 - Sophie Germain prime
*
2550 - pronic number
*
2552 - sum of the totient function for the first 91 integers
*
2556 - triangular number
*
2567 - Mertens function zero
*
2568 - Mertens function zero. Also number of digits in the decimal expansion of 1000!, or the product of all natural numbers from 1 to 1000.
*
2570 - Mertens function zero
*
2579 - safe prime
*
2580 - Keith number
*
2584 - Fibonacci number, sum of the first 37 primes
*
2596 - sum of the totient function for the first 92 integers
*
2600 - tetrahedral number, member of a Ruth-Aaron pair with 2601 (first definition)
** 2600 Hz is the tone used by a blue box to defeat toll charges on long distance telephone calls.
** 2600: The Hacker Quarterly is a magazine named after the above.
** The Atari 2600 was a popular video game console.
*
2601 = 51^2, member of a Ruth-Aaron pair with 2600 (first definition)
*
2620 - amicable number with 2924
*
2626 - decagonal number
*
2628 - triangular number
*
2632 - number of consecutive baseball games played by Cal Ripken, Jr.
*
2641 - centered pentagonal number
*
2647 - centered heptagonal number
*
2652 - pronic number
*
2656 - sum of the totient function for the first 93 integers
*
2674 - nonagonal number
*
2677 - balanced prime
*
2680 - number of 11-Queens Problem solutions
*
2689 - Mertens function zero
*
2693 - Sophie Germain prime
*
2699 - Sophie Germain prime
*
2701 - triangular number, super-Poulet number
*
2702 - sum of the totient function for the first 94 integers
*
2704 = 52^2
*
2728 - Kaprekar number
*
2729 - highly cototient number
*
2731 - Wagstaff prime
*
2736 - octahedral number
*
2741 - Sophie Germain prime
*
2744 = 14^3
*
2747 - sum of the first 38 primes
*
2753 - Sophie Germain prime
*
2756 - pronic number
*
2774 - sum of the totient function for the first 95 integers
*
2775 - triangular number
*
2783 - member of a Ruth-Aaron pair with 2784 (first definition)
*
2784 - member of a Ruth-Aaron pair with 2783 (first definition)
*
2791 - cuban prime
*
2806 - centered pentagonal number, sum of the totient function for the first 96 integers
*
2809 = 53^2, centered octagonal number
*
2819 - Sophie Germain prime, safe prime
*
2821 - Carmichael number
*
2835 - odd abundant number, decagonal number
*
2843 - centered heptagonal number
*
2850 - triangular number
*
2862 - pronic number
*
2870 - square pyramidal number
*
2871 - nonagonal number
*
2872 - tetranacci number
*
2879 - safe prime
*
2897 - Markov number
*
2902 - sum of the totient function for the first 97 integers
*
2903 - Sophie Germain prime, safe prime, balanced prime
*
2914 - sum of the first 39 primes
*
2916 = 54^2
*
2924 - amicable number with 2620
*
2925 - magic constant of
n×
n magic square and
n-Queens Problem for
n = 18, tetrahedral number
*
2926 - triangular number
*
2939 - Sophie Germain prime
*
2944 - sum of the totient function for the first 98 integers
*
2963 - Sophie Germain prime, safe prime, balanced prime
*
2965 - greater of 2nd pair of Smith brothers
*
2969 - Sophie Germain prime
*
2970 - harmonic divisor number, pronic number
*
2976 - centered pentagonal number
*
2997 - chiliagonal number
*
2999 - safe prime
299e03 2000
