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2561999880 = 2335113752457
BaseRepresentation
bin1001100010110101…
…0000010000001000
320121112212002010110
42120231100100020
520221332444010
61102120314320
7120326432256
oct23055202010
96545762113
102561999880
1110a5200480
125b60129a0
1331aa2977b
141a438d5d6
15eedc6120
hex98b50408

2561999880 has 128 divisors (see below), whose sum is σ = 8611505280. Its totient is φ = 604293120.

The previous prime is 2561999879. The next prime is 2561999887. The reversal of 2561999880 is 889991652.

It is a self number, because there is not a number n which added to its sum of digits gives 2561999880.

It is not an unprimeable number, because it can be changed into a prime (2561999887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22612 + ... + 75068.

It is an arithmetic number, because the mean of its divisors is an integer number (67277385).

Almost surely, 22561999880 is an apocalyptic number.

2561999880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561999880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305752640).

2561999880 is an abundant number, since it is smaller than the sum of its proper divisors (6049505400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561999880 is a wasteful number, since it uses less digits than its factorization.

2561999880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52519 (or 52515 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The square root of 2561999880 is about 50616.2017539839. The cubic root of 2561999880 is about 1368.3368882348.

The spelling of 2561999880 in words is "two billion, five hundred sixty-one million, nine hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 52457 104914 157371 209828 262285 314742 419656 524570 577027 629484 786855 1049140 1154054 1258968 1573710 1731081 1940909 2098280 2308108 2885135 3147420 3462162 3881818 4616216 5770270 5822727 6294840 6924324 7763636 8655405 9704545 11540540 11645454 13848648 15527272 17310810 19409090 21349999 23081080 23290908 29113635 34621620 38818180 42699998 46581816 58227270 64049997 69243240 77636360 85399996 106749995 116454540 128099994 170799992 213499990 232909080 256199988 320249985 426999980 512399976 640499970 853999960 1280999940 2561999880