2555645904 has 400 divisors, whose sum is σ = 9113309568. Its totient is φ = 674832384.

The previous prime is 2555645899. The next prime is 2555645927. The reversal of 2555645904 is 4095465552.

2555645904 is a `hidden beast` number, since 2 + 5 + 5 + 56 + 4 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2555645904.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 11258239 + ... + 11258465.

Almost surely, 2^2555645904 is an apocalyptic number.

2555645904 is a gapful number since it is divisible by the number (24) 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 2555645904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556654784).

2555645904 is an abundant number, since it is smaller than the sum of its proper divisors (6557663664).

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

2555645904 is a wasteful number, since it uses less digits than its factorization.

2555645904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

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

The square root of 2555645904 is about 50553.3965624467. The cubic root of 2555645904 is about 1367.2047547878.

The spelling of 2555645904 in words is "two billion, five hundred fifty-five million, six hundred forty-five thousand, nine hundred four".