2495542400 has 192 divisors, whose sum is σ = 6693321600. Its totient is φ = 913920000.

The previous prime is 2495542369. The next prime is 2495542447. The reversal of 2495542400 is 42455942.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9942275 + ... + 9942525.

It is an arithmetic number, because the mean of its divisors is an integer number (34861050).

Almost surely, 2^2495542400 is an apocalyptic number.

2495542400 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 2495542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346660800).

2495542400 is an abundant number, since it is smaller than the sum of its proper divisors (4197779200).

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

2495542400 is a wasteful number, since it uses less digits than its factorization.

2495542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 2495542400 is about 49955.4041120678. The cubic root of 2495542400 is about 1356.4016758595.

It can be divided in two parts, 2495542 and 400, that added together give a palindrome (2495942).

The spelling of 2495542400 in words is "two billion, four hundred ninety-five million, five hundred forty-two thousand, four hundred".