2501534400 has 84 divisors (see below), whose sum is σ = 8207133192. Its totient is φ = 667074560.

The previous prime is 2501534393. The next prime is 2501534401. The reversal of 2501534400 is 44351052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2501534401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255777 + ... + 265376.

Almost surely, 2^2501534400 is an apocalyptic number.

2501534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501534400 is an abundant number, since it is smaller than the sum of its proper divisors (5705598792).

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

2501534400 is a wasteful number, since it uses less digits than its factorization.

2501534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521178 (or 521163 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2501534400 is about 50015.3416463389. The cubic root of 2501534400 is about 1357.4864183359.

Adding to 2501534400 its reverse (44351052), we get a palindrome (2545885452).

The spelling of 2501534400 in words is "two billion, five hundred one million, five hundred thirty-four thousand, four hundred".