2534793264 has 120 divisors (see below), whose sum is σ = 7496051472. Its totient is φ = 828921600.

The previous prime is 2534793259. The next prime is 2534793271. The reversal of 2534793264 is 4623974352.

2534793264 is a `hidden beast` number, since 2 + 534 + 7 + 93 + 26 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 199914 + ... + 212214.

Almost surely, 2^2534793264 is an apocalyptic number.

2534793264 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 2534793264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748025736).

2534793264 is an abundant number, since it is smaller than the sum of its proper divisors (4961258208).

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

2534793264 is a wasteful number, since it uses less digits than its factorization.

2534793264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12359 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2534793264 is about 50346.7304201574. The cubic root of 2534793264 is about 1363.4760531254.

The spelling of 2534793264 in words is "two billion, five hundred thirty-four million, seven hundred ninety-three thousand, two hundred sixty-four".