2534402304 has 288 divisors, whose sum is σ = 8748320000. Its totient is φ = 723437568.

The previous prime is 2534402293. The next prime is 2534402317. The reversal of 2534402304 is 4032044352.

2534402304 is a `hidden beast` number, since 253 + 4 + 402 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370282 + ... + 2371350.

Almost surely, 2^2534402304 is an apocalyptic number.

2534402304 is a gapful number since it is divisible by the number (24) 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 2534402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374160000).

2534402304 is an abundant number, since it is smaller than the sum of its proper divisors (6213917696).

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

2534402304 is an equidigital number, since it uses as much as digits as its factorization.

2534402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2534402304 is about 50342.8475952642. The cubic root of 2534402304 is about 1363.4059498401.

Adding to 2534402304 its reverse (4032044352), we get a palindrome (6566446656).

The spelling of 2534402304 in words is "two billion, five hundred thirty-four million, four hundred two thousand, three hundred four".