2972220160 has 576 divisors, whose sum is σ = 9889689600. Its totient is φ = 828112896.

The previous prime is 2972220133. The next prime is 2972220161. The reversal of 2972220160 is 610222792.

It is not an unprimeable number, because it can be changed into a prime (2972220161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37623001 + ... + 37623079.

It is an arithmetic number, because the mean of its divisors is an integer number (17169600).

Almost surely, 2^2972220160 is an apocalyptic number.

2972220160 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 2972220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944844800).

2972220160 is an abundant number, since it is smaller than the sum of its proper divisors (6917469440).

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

2972220160 is a wasteful number, since it uses less digits than its factorization.

2972220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2972220160 is about 54518.0718661253. The cubic root of 2972220160 is about 1437.7840402550.

The spelling of 2972220160 in words is "two billion, nine hundred seventy-two million, two hundred twenty thousand, one hundred sixty".