2960560512 has 384 divisors, whose sum is σ = 10835435520. Its totient is φ = 754790400.

The previous prime is 2960560507. The next prime is 2960560517. The reversal of 2960560512 is 2150650692.

2960560512 is a `hidden beast` number, since 2 + 96 + 0 + 56 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (2960560507) and next prime (2960560517).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960560517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249337 + ... + 3250247.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 2^2960560512 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 2960560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417717760).

2960560512 is an abundant number, since it is smaller than the sum of its proper divisors (7874875008).

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

2960560512 is a wasteful number, since it uses less digits than its factorization.

2960560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2960560512 is about 54411.0329988321. The cubic root of 2960560512 is about 1435.9014941106.

The spelling of 2960560512 in words is "two billion, nine hundred sixty million, five hundred sixty thousand, five hundred twelve".