2960529264 has 720 divisors, whose sum is σ = 11525928960. Its totient is φ = 718502400.

The previous prime is 2960529239. The next prime is 2960529281. The reversal of 2960529264 is 4629250692.

2960529264 = 222³ + 223³ + ... + 345³.

2960529264 is a `hidden beast` number, since 2 + 9 + 60 + 529 + 2 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95500929 + ... + 95500959.

Almost surely, 2^2960529264 is an apocalyptic number.

2960529264 is a gapful number since it is divisible by the number (24) 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 2960529264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762964480).

2960529264 is an abundant number, since it is smaller than the sum of its proper divisors (8565399696).

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

2960529264 is a wasteful number, since it uses less digits than its factorization.

2960529264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2960529264 is about 54410.7458504292. The cubic root of 2960529264 is about 1435.8964422286.

The spelling of 2960529264 in words is "two billion, nine hundred sixty million, five hundred twenty-nine thousand, two hundred sixty-four".