2970560320 has 504 divisors, whose sum is σ = 9538106400. Its totient is φ = 875556864.

The previous prime is 2970560279. The next prime is 2970560321. The reversal of 2970560320 is 230650792.

It is a happy number.

It is a super-2 number, since 2×2970560320² = 17648457229517004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970560321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50348451 + ... + 50348509.

Almost surely, 2^2970560320 is an apocalyptic number.

2970560320 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 2970560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769053200).

2970560320 is an abundant number, since it is smaller than the sum of its proper divisors (6567546080).

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

2970560320 is a wasteful number, since it uses less digits than its factorization.

2970560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 2970560320 is about 54502.8468981208. The cubic root of 2970560320 is about 1437.5163463296.

The spelling of 2970560320 in words is "two billion, nine hundred seventy million, five hundred sixty thousand, three hundred twenty".