2972307560 has 64 divisors (see below), whose sum is σ = 7048641600. Its totient is φ = 1124914176.

The previous prime is 2972307521. The next prime is 2972307571. The reversal of 2972307560 is 657032792.

It is a super-2 number, since 2×2972307560² = 17669224462466307200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740519 + ... + 744521.

It is an arithmetic number, because the mean of its divisors is an integer number (110135025).

Almost surely, 2^2972307560 is an apocalyptic number.

2972307560 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 2972307560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524320800).

2972307560 is an abundant number, since it is smaller than the sum of its proper divisors (4076334040).

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

2972307560 is a wasteful number, since it uses less digits than its factorization.

2972307560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 2972307560 is about 54518.8734292997. The cubic root of 2972307560 is about 1437.7981330977.

The spelling of 2972307560 in words is "two billion, nine hundred seventy-two million, three hundred seven thousand, five hundred sixty".