2972655280 has 80 divisors (see below), whose sum is σ = 7909208064. Its totient is φ = 1017849600.

The previous prime is 2972655271. The next prime is 2972655281. The reversal of 2972655280 is 825562792.

2972655280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2972655280.

It is not an unprimeable number, because it can be changed into a prime (2972655281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480205 + ... + 486355.

Almost surely, 2^2972655280 is an apocalyptic number.

2972655280 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 2972655280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954604032).

2972655280 is an abundant number, since it is smaller than the sum of its proper divisors (4936552784).

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

2972655280 is a wasteful number, since it uses less digits than its factorization.

2972655280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 2972655280 is about 54522.0623234301. The cubic root of 2972655280 is about 1437.8541985914.

The spelling of 2972655280 in words is "two billion, nine hundred seventy-two million, six hundred fifty-five thousand, two hundred eighty".