2971616320 has 56 divisors (see below), whose sum is σ = 7492419864. Its totient is φ = 1118724096.

The previous prime is 2971616311. The next prime is 2971616377. The reversal of 2971616320 is 236161792.

It can be written as a sum of positive squares in 4 ways, for example, as 752075776 + 2219540544 = 27424^2 + 47112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2971616320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267687 + ... + 278566.

Almost surely, 2^2971616320 is an apocalyptic number.

2971616320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2971616320 is an abundant number, since it is smaller than the sum of its proper divisors (4520803544).

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

2971616320 is a wasteful number, since it uses less digits than its factorization.

2971616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546287 (or 546277 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 2971616320 is about 54512.5336046675. The cubic root of 2971616320 is about 1437.6866663202.

The spelling of 2971616320 in words is "two billion, nine hundred seventy-one million, six hundred sixteen thousand, three hundred twenty".