2557254700 has 288 divisors, whose sum is σ = 7594513920. Its totient is φ = 721612800.

The previous prime is 2557254683. The next prime is 2557254703. The reversal of 2557254700 is 74527552.

It is a self number, because there is not a number n which added to its sum of digits gives 2557254700.

It is not an unprimeable number, because it can be changed into a prime (2557254703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5905684 + ... + 5906116.

It is an arithmetic number, because the mean of its divisors is an integer number (26369840).

Almost surely, 2^2557254700 is an apocalyptic number.

2557254700 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 2557254700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797256960).

2557254700 is an abundant number, since it is smaller than the sum of its proper divisors (5037259220).

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

2557254700 is a wasteful number, since it uses less digits than its factorization.

2557254700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The square root of 2557254700 is about 50569.3059078331. The cubic root of 2557254700 is about 1367.4915827549.

The spelling of 2557254700 in words is "two billion, five hundred fifty-seven million, two hundred fifty-four thousand, seven hundred".