2972712960 has 420 divisors, whose sum is σ = 12180253008. Its totient is φ = 679477248.

The previous prime is 2972712949. The next prime is 2972713013. The reversal of 2972712960 is 692172792.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (2!)¹³.

2972712960 is a `hidden beast` number, since 2 + 97 + 271 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424673277 + ... + 424673283.

Almost surely, 2^2972712960 is an apocalyptic number.

2972712960 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 2972712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090126504).

2972712960 is an abundant number, since it is smaller than the sum of its proper divisors (9207540048).

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

2972712960 is an frugal number, since it uses more digits than its factorization.

2972712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2972712960 is about 54522.5912810461. The cubic root of 2972712960 is about 1437.8634983460.

The spelling of 2972712960 in words is "two billion, nine hundred seventy-two million, seven hundred twelve thousand, nine hundred sixty".