2972787642 has 56 divisors (see below), whose sum is σ = 7293545280. Its totient is φ = 900839880.

The previous prime is 2972787613. The next prime is 2972787667. The reversal of 2972787642 is 2467872792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 76642 + ... + 108717.

It is an arithmetic number, because the mean of its divisors is an integer number (130241880).

Almost surely, 2^2972787642 is an apocalyptic number.

2972787642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2972787642 is an abundant number, since it is smaller than the sum of its proper divisors (4320757638).

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

2972787642 is a wasteful number, since it uses less digits than its factorization.

2972787642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185390 (or 185375 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 2972787642 is about 54523.2761488156. The cubic root of 2972787642 is about 1437.8755391567.

The spelling of 2972787642 in words is "two billion, nine hundred seventy-two million, seven hundred eighty-seven thousand, six hundred forty-two".