2556972920 has 64 divisors (see below), whose sum is σ = 5973372000. Its totient is φ = 983904768.

The previous prime is 2556972911. The next prime is 2556972923. The reversal of 2556972920 is 292796552.

It is a super-2 number, since 2×2556972920² = 13076221027226652800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556972923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324386 + ... + 332174.

Almost surely, 2^2556972920 is an apocalyptic number.

2556972920 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 2556972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986686000).

2556972920 is an abundant number, since it is smaller than the sum of its proper divisors (3416399080).

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

2556972920 is a wasteful number, since it uses less digits than its factorization.

2556972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 2556972920 is about 50566.5197536868. The cubic root of 2556972920 is about 1367.4413536384.

It can be divided in two parts, 25569 and 72920, that added together give a palindrome (98489).

The spelling of 2556972920 in words is "two billion, five hundred fifty-six million, nine hundred seventy-two thousand, nine hundred twenty".