2974560456 has 96 divisors (see below), whose sum is σ = 8610719040. Its totient is φ = 838820736.

The previous prime is 2974560451. The next prime is 2974560469. The reversal of 2974560456 is 6540654792.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2974560451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1047070 + ... + 1049906.

It is an arithmetic number, because the mean of its divisors is an integer number (89694990).

Almost surely, 2^2974560456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2974560456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305359520).

2974560456 is an abundant number, since it is smaller than the sum of its proper divisors (5636158584).

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

2974560456 is a wasteful number, since it uses less digits than its factorization.

2974560456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 2974560456 is about 54539.5311310979. The cubic root of 2974560456 is about 1438.1613067759.

The spelling of 2974560456 in words is "two billion, nine hundred seventy-four million, five hundred sixty thousand, four hundred fifty-six".