2582131400 has 24 divisors (see below), whose sum is σ = 6003455970. Its totient is φ = 1032852480.

The previous prime is 2582131393. The next prime is 2582131417. The reversal of 2582131400 is 41312852.

It can be written as a sum of positive squares in 3 ways, for example, as 2502600676 + 79530724 = 50026^2 + 8918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2582131400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6455129 + ... + 6455528.

Almost surely, 2^2582131400 is an apocalyptic number.

2582131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582131400 is an abundant number, since it is smaller than the sum of its proper divisors (3421324570).

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

2582131400 is a wasteful number, since it uses less digits than its factorization.

2582131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12910673 (or 12910664 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2582131400 is about 50814.6770136346. The cubic root of 2582131400 is about 1371.9115518408.

The spelling of 2582131400 in words is "two billion, five hundred eighty-two million, one hundred thirty-one thousand, four hundred".