2976972960 has 192 divisors, whose sum is σ = 10447678080. Its totient is φ = 707481600.

The previous prime is 2976972959. The next prime is 2976973019. The reversal of 2976972960 is 692796792.

It is a self number, because there is not a number n which added to its sum of digits gives 2976972960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172735 + ... + 189185.

It is an arithmetic number, because the mean of its divisors is an integer number (54414990).

Almost surely, 2^2976972960 is an apocalyptic number.

2976972960 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 2976972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223839040).

2976972960 is an abundant number, since it is smaller than the sum of its proper divisors (7470705120).

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

2976972960 is a wasteful number, since it uses less digits than its factorization.

2976972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16511 (or 16503 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The square root of 2976972960 is about 54561.6436702561. The cubic root of 2976972960 is about 1438.5500064831.

The spelling of 2976972960 in words is "two billion, nine hundred seventy-six million, nine hundred seventy-two thousand, nine hundred sixty".