2556503904 has 48 divisors (see below), whose sum is σ = 6763696128. Its totient is φ = 845453952.

The previous prime is 2556503893. The next prime is 2556503921. The reversal of 2556503904 is 4093056552.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2556503904² = 13071424422334482432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92652 + ... + 117035.

It is an arithmetic number, because the mean of its divisors is an integer number (140910336).

Almost surely, 2^2556503904 is an apocalyptic number.

2556503904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2556503904 is an abundant number, since it is smaller than the sum of its proper divisors (4207192224).

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

2556503904 is a wasteful number, since it uses less digits than its factorization.

2556503904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209827 (or 209819 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 2556503904 is about 50561.8819270011. The cubic root of 2556503904 is about 1367.3577403046.

The spelling of 2556503904 in words is "two billion, five hundred fifty-six million, five hundred three thousand, nine hundred four".