2972806560 has 72 divisors (see below), whose sum is σ = 10144707300. Its totient is φ = 792748032.

The previous prime is 2972806547. The next prime is 2972806567. The reversal of 2972806560 is 656082792.

2972806560 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 80 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2666276496 + 306530064 = 51636^2 + 17508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2972806567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030785 + ... + 1033664.

Almost surely, 2^2972806560 is an apocalyptic number.

2972806560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2972806560 is an abundant number, since it is smaller than the sum of its proper divisors (7171900740).

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

2972806560 is a wasteful number, since it uses less digits than its factorization.

2972806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064470 (or 2064459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2972806560 is about 54523.4496340795. The cubic root of 2972806560 is about 1437.8785892313.

The spelling of 2972806560 in words is "two billion, nine hundred seventy-two million, eight hundred six thousand, five hundred sixty".