2792319264 has 96 divisors (see below), whose sum is σ = 9307751040. Its totient is φ = 797803776.

The previous prime is 2792319223. The next prime is 2792319289. The reversal of 2792319264 is 4629132972.

2792319264 is a `hidden beast` number, since 2 + 79 + 2 + 319 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224799 + ... + 236894.

It is an arithmetic number, because the mean of its divisors is an integer number (96955740).

Almost surely, 2^2792319264 is an apocalyptic number.

2792319264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2792319264 is an abundant number, since it is smaller than the sum of its proper divisors (6515431776).

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

2792319264 is a wasteful number, since it uses less digits than its factorization.

2792319264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461719 (or 461705 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2792319264 is about 52842.4002482855. The cubic root of 2792319264 is about 1408.1697937882.

The spelling of 2792319264 in words is "two billion, seven hundred ninety-two million, three hundred nineteen thousand, two hundred sixty-four".