2960704656 has 640 divisors, whose sum is σ = 11249280000. Its totient is φ = 739694592.

The previous prime is 2960704651. The next prime is 2960704667. The reversal of 2960704656 is 6564070692.

It is not an unprimeable number, because it can be changed into a prime (2960704651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55862326 + ... + 55862378.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 2^2960704656 is an apocalyptic number.

2960704656 is a gapful number since it is divisible by the number (26) 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 2960704656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

2960704656 is an abundant number, since it is smaller than the sum of its proper divisors (8288575344).

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

2960704656 is a wasteful number, since it uses less digits than its factorization.

2960704656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2960704656 is about 54412.3575670086. The cubic root of 2960704656 is about 1435.9247974936.

The spelling of 2960704656 in words is "two billion, nine hundred sixty million, seven hundred four thousand, six hundred fifty-six".