2970574560 has 480 divisors, whose sum is σ = 11295456480. Its totient is φ = 732561408.

The previous prime is 2970574501. The next prime is 2970574643. The reversal of 2970574560 is 654750792.

2970574560 is a `hidden beast` number, since 2 + 9 + 70 + 574 + 5 + 6 + 0 = 666.

2970574560 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 (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21370971 + ... + 21371109.

It is an arithmetic number, because the mean of its divisors is an integer number (23532201).

Almost surely, 2^2970574560 is an apocalyptic number.

2970574560 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 2970574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647728240).

2970574560 is an abundant number, since it is smaller than the sum of its proper divisors (8324881920).

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

2970574560 is a wasteful number, since it uses less digits than its factorization.

2970574560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2970574560 is about 54502.9775333422. The cubic root of 2970574560 is about 1437.5186433373.

The spelling of 2970574560 in words is "two billion, nine hundred seventy million, five hundred seventy-four thousand, five hundred sixty".