2992965264 has 135 divisors (see below), whose sum is σ = 8647291497. Its totient is φ = 966362112.

The previous prime is 2992965259. The next prime is 2992965293. The reversal of 2992965264 is 4625692992.

It is a happy number.

The square root of 2992965264 is 54708.

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

2992965264 is a `hidden beast` number, since 2 + 99 + 29 + 6 + 526 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1343955600 + 1649009664 = 36660^2 + 40608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2992965264.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30855264 + ... + 30855360.

Almost surely, 2^2992965264 is an apocalyptic number.

2992965264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2992965264 is the 54708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992965264

2992965264 is an abundant number, since it is smaller than the sum of its proper divisors (5654326233).

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

2992965264 is an equidigital number, since it uses as much as digits as its factorization.

2992965264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The cubic root of 2992965264 is about 1441.1213718972.

It can be divided in two parts, 2992 and 965264, that added together give a square (968256 = 984²).

The spelling of 2992965264 in words is "two billion, nine hundred ninety-two million, nine hundred sixty-five thousand, two hundred sixty-four".