2534312400 has 120 divisors (see below), whose sum is σ = 8595860544. Its totient is φ = 636057600.

The previous prime is 2534312399. The next prime is 2534312419. The reversal of 2534312400 is 42134352.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 41716 + ... + 82515.

Almost surely, 2^2534312400 is an apocalyptic number.

2534312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2534312400 is an abundant number, since it is smaller than the sum of its proper divisors (6061548144).

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

2534312400 is a wasteful number, since it uses less digits than its factorization.

2534312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124269 (or 124258 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2534312400 is about 50341.9546700364. The cubic root of 2534312400 is about 1363.3898280773.

Adding to 2534312400 its reverse (42134352), we get a palindrome (2576446752).

The spelling of 2534312400 in words is "two billion, five hundred thirty-four million, three hundred twelve thousand, four hundred".