2947621264 has 75 divisors (see below), whose sum is σ = 6686594817. Its totient is φ = 1258705728.

The previous prime is 2947621253. The next prime is 2947621283. The reversal of 2947621264 is 4621267492.

The square root of 2947621264 is 54292.

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

It can be written as a sum of positive squares in only one way, i.e., 508051600 + 2439569664 = 22540^2 + 49392^2 .

It is a super-2 number, since 2×2947621264² = 17376942231969915392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2947621264.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10641094 + ... + 10641370.

Almost surely, 2^2947621264 is an apocalyptic number.

2947621264 is the 54292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2947621264

2947621264 is an abundant number, since it is smaller than the sum of its proper divisors (3738973553).

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

2947621264 is an frugal number, since it uses more digits than its factorization.

2947621264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 286 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The cubic root of 2947621264 is about 1433.8065508461.

The spelling of 2947621264 in words is "two billion, nine hundred forty-seven million, six hundred twenty-one thousand, two hundred sixty-four".