2972113560 has 384 divisors, whose sum is σ = 11058727680. Its totient is φ = 713276928.

The previous prime is 2972113559. The next prime is 2972113583. The reversal of 2972113560 is 653112792.

2972113560 is a `hidden beast` number, since 2 + 97 + 2 + 1 + 1 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433207 + ... + 5433753.

It is an arithmetic number, because the mean of its divisors is an integer number (28798770).

Almost surely, 2^2972113560 is an apocalyptic number.

2972113560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972113560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529363840).

2972113560 is an abundant number, since it is smaller than the sum of its proper divisors (8086614120).

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

2972113560 is a wasteful number, since it uses less digits than its factorization.

2972113560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2972113560 is about 54517.0941998929. The cubic root of 2972113560 is about 1437.7668511278.

The spelling of 2972113560 in words is "two billion, nine hundred seventy-two million, one hundred thirteen thousand, five hundred sixty".