2557385894304 has 72 divisors (see below), whose sum is σ = 7310642556672. Its totient is φ = 847998794880.

The previous prime is 2557385894257. The next prime is 2557385894387. The reversal of 2557385894304 is 4034985837552.

2557385894304 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 3 + 8 + 589 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2557385894304² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23190574 + ... + 23300589.

It is an arithmetic number, because the mean of its divisors is an integer number (101536702176).

Almost surely, 2^{2557385894304} is an apocalyptic number.

2557385894304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2557385894304 is an abundant number, since it is smaller than the sum of its proper divisors (4753256662368).

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

2557385894304 is a wasteful number, since it uses less digits than its factorization.

2557385894304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46491370 (or 46491359 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 2557385894304 in words is "two trillion, five hundred fifty-seven billion, three hundred eighty-five million, eight hundred ninety-four thousand, three hundred four".