2972940165 has 160 divisors (see below), whose sum is σ = 6117914880. Its totient is φ = 1369073664.

The previous prime is 2972940143. The next prime is 2972940169. The reversal of 2972940165 is 5610492792.

It is not a de Polignac number, because 2972940165 - 2⁸ = 2972939909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2972940165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972940169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11303824 + ... + 11304086.

It is an arithmetic number, because the mean of its divisors is an integer number (38236968).

Almost surely, 2^2972940165 is an apocalyptic number.

It is an amenable number.

2972940165 is an abundant number, since it is smaller than the sum of its proper divisors (3144974715).

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

2972940165 is a wasteful number, since it uses less digits than its factorization.

2972940165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2972940165 is about 54524.6748270909. The cubic root of 2972940165 is about 1437.9001294702.

The spelling of 2972940165 in words is "two billion, nine hundred seventy-two million, nine hundred forty thousand, one hundred sixty-five".