2972538918 has 64 divisors (see below), whose sum is σ = 6843916800. Its totient is φ = 955211040.

The previous prime is 2972538917. The next prime is 2972538953. The reversal of 2972538918 is 8198352792.

2972538918 is a `hidden beast` number, since 2 + 97 + 2 + 538 + 9 + 18 = 666.

It is a super-2 number, since 2×2972538918² = 17671975238049221448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972538911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538413 + ... + 1540343.

It is an arithmetic number, because the mean of its divisors is an integer number (106936200).

Almost surely, 2^2972538918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972538918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421958400).

2972538918 is an abundant number, since it is smaller than the sum of its proper divisors (3871377882).

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

2972538918 is a wasteful number, since it uses less digits than its factorization.

2972538918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 2972538918 is about 54520.9952036828. The cubic root of 2972538918 is about 1437.8354371634.

The spelling of 2972538918 in words is "two billion, nine hundred seventy-two million, five hundred thirty-eight thousand, nine hundred eighteen".