2936772864 has 81 divisors (see below), whose sum is σ = 8474946753. Its totient is φ = 978057216.

The previous prime is 2936772857. The next prime is 2936772889. The reversal of 2936772864 is 4682776392.

The square root of 2936772864 is 54192.

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

2936772864 is a `hidden beast` number, since 293 + 6 + 77 + 286 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249387264 + 2687385600 = 15792^2 + 51840^2 .

Its product of digits (6096384) is a multiple of the sum of its prime divisors (1134).

It is a self number, because there is not a number n which added to its sum of digits gives 2936772864.

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 8 ways as a sum of consecutive naturals, for example, 2600652 + ... + 2601780.

Almost surely, 2^2936772864 is an apocalyptic number.

2936772864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2936772864 is the 54192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2936772864

2936772864 is an abundant number, since it is smaller than the sum of its proper divisors (5538173889).

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

2936772864 is an frugal number, since it uses more digits than its factorization.

2936772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 1134 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The cubic root of 2936772864 is about 1432.0453987251.

The spelling of 2936772864 in words is "two billion, nine hundred thirty-six million, seven hundred seventy-two thousand, eight hundred sixty-four".