2557657872 has 240 divisors, whose sum is σ = 8969425920. Its totient is φ = 660960000.

The previous prime is 2557657841. The next prime is 2557657901. The reversal of 2557657872 is 2787567552.

2557657872 is a `hidden beast` number, since 2 + 557 + 6 + 5 + 7 + 87 + 2 = 666.

It is a super-2 number, since 2×2557657872² = 13083227580407136768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2782629 + ... + 2783547.

It is an arithmetic number, because the mean of its divisors is an integer number (37372608).

Almost surely, 2^2557657872 is an apocalyptic number.

2557657872 is a gapful number since it is divisible by the number (22) 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 2557657872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484712960).

2557657872 is an abundant number, since it is smaller than the sum of its proper divisors (6411768048).

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

2557657872 is a wasteful number, since it uses less digits than its factorization.

2557657872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The square root of 2557657872 is about 50573.2920818884. The cubic root of 2557657872 is about 1367.5634443681.

The spelling of 2557657872 in words is "two billion, five hundred fifty-seven million, six hundred fifty-seven thousand, eight hundred seventy-two".