2979408320 has 56 divisors (see below), whose sum is σ = 8108253024. Its totient is φ = 1021510656.

The previous prime is 2979408319. The next prime is 2979408323. The reversal of 2979408320 is 238049792.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979408323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 662807 + ... + 667286.

Almost surely, 2^2979408320 is an apocalyptic number.

2979408320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2979408320 is an abundant number, since it is smaller than the sum of its proper divisors (5128844704).

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

2979408320 is a wasteful number, since it uses less digits than its factorization.

2979408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330117 (or 1330107 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 2979408320 is about 54583.9566173065. The cubic root of 2979408320 is about 1438.9421757874.

The spelling of 2979408320 in words is "two billion, nine hundred seventy-nine million, four hundred eight thousand, three hundred twenty".