2979971761 has 12 divisors (see below), whose sum is σ = 3396670320. Its totient is φ = 2605964400.

The previous prime is 2979971759. The next prime is 2979971777. The reversal of 2979971761 is 1671799792.

2979971761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2979971761 - 2¹ = 2979971759 is a prime.

It is a super-2 number, since 2×2979971761² = 17760463392714882242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2979971696 and 2979971705.

It is not an unprimeable number, because it can be changed into a prime (2979971711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460815 + ... + 467236.

It is an arithmetic number, because the mean of its divisors is an integer number (283055860).

Almost surely, 2^2979971761 is an apocalyptic number.

It is an amenable number.

2979971761 is a deficient number, since it is larger than the sum of its proper divisors (416698559).

2979971761 is a wasteful number, since it uses less digits than its factorization.

2979971761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928096 (or 928083 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 58.

The square root of 2979971761 is about 54589.1176059844. The cubic root of 2979971761 is about 1439.0328770082.

The spelling of 2979971761 in words is "two billion, nine hundred seventy-nine million, nine hundred seventy-one thousand, seven hundred sixty-one".