2314379664 has 135 divisors (see below), whose sum is σ = 6868439019. Its totient is φ = 727392960.

The previous prime is 2314379659. The next prime is 2314379671. The reversal of 2314379664 is 4669734132.

The square root of 2314379664 is 48108.

It is a perfect power (a square), and thus also a powerful number.

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 26 ways as a sum of consecutive naturals, for example, 10968519 + ... + 10968729.

Almost surely, 2^2314379664 is an apocalyptic number.

2314379664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2314379664 is the 48108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314379664

2314379664 is an abundant number, since it is smaller than the sum of its proper divisors (4554059355).

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

2314379664 is a wasteful number, since it uses less digits than its factorization.

2314379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 235 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The cubic root of 2314379664 is about 1322.7513137155.

The spelling of 2314379664 in words is "two billion, three hundred fourteen million, three hundred seventy-nine thousand, six hundred sixty-four".