2556583560 has 96 divisors (see below), whose sum is σ = 8616666240. Its totient is φ = 681753024.

The previous prime is 2556583559. The next prime is 2556583597. The reversal of 2556583560 is 653856552.

2556583560 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 5 + 83 + 560 = 666.

It is a super-2 number, since 2×2556583560² = 13072238998524547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121792 + ... + 141231.

It is an arithmetic number, because the mean of its divisors is an integer number (89756940).

Almost surely, 2^2556583560 is an apocalyptic number.

2556583560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556583560 is an abundant number, since it is smaller than the sum of its proper divisors (6060082680).

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

2556583560 is a wasteful number, since it uses less digits than its factorization.

2556583560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263049 (or 263033 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 2556583560 is about 50562.6696288873. The cubic root of 2556583560 is about 1367.3719416150.

The spelling of 2556583560 in words is "two billion, five hundred fifty-six million, five hundred eighty-three thousand, five hundred sixty".