2557156400 has 60 divisors (see below), whose sum is σ = 6159425712. Its totient is φ = 1020222720.

The previous prime is 2557156373. The next prime is 2557156411. The reversal of 2557156400 is 46517552.

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 11 ways as a sum of consecutive naturals, for example, 150749 + ... + 166851.

Almost surely, 2^2557156400 is an apocalyptic number.

2557156400 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 2557156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079712856).

2557156400 is an abundant number, since it is smaller than the sum of its proper divisors (3602269312).

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

2557156400 is a wasteful number, since it uses less digits than its factorization.

2557156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16518 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 2557156400 is about 50568.3339650418. Note that the first 3 decimals coincide. The cubic root of 2557156400 is about 1367.4740605601.

The spelling of 2557156400 in words is "two billion, five hundred fifty-seven million, one hundred fifty-six thousand, four hundred".