2534134400 has 96 divisors (see below), whose sum is σ = 7154467680. Its totient is φ = 868838400.

The previous prime is 2534134399. The next prime is 2534134417. The reversal of 2534134400 is 44314352.

It is a self number, because there is not a number n which added to its sum of digits gives 2534134400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34166 + ... + 78965.

It is an arithmetic number, because the mean of its divisors is an integer number (74525705).

Almost surely, 2^2534134400 is an apocalyptic number.

2534134400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2534134400 is an abundant number, since it is smaller than the sum of its proper divisors (4620333280).

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

2534134400 is a wasteful number, since it uses less digits than its factorization.

2534134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113162 (or 113145 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2534134400 is about 50340.1867298881. The cubic root of 2534134400 is about 1363.3579076412.

Adding to 2534134400 its reverse (44314352), we get a palindrome (2578448752).

The spelling of 2534134400 in words is "two billion, five hundred thirty-four million, one hundred thirty-four thousand, four hundred".