2960002960992 has 576 divisors, whose sum is σ = 10919371567104. Its totient is φ = 766280010240.

The previous prime is 2960002960919. The next prime is 2960002961033. The reversal of 2960002960992 is 2990692000692.

2960002960992 is a `hidden beast` number, since 2 + 9 + 6 + 0 + 0 + 0 + 29 + 609 + 9 + 2 = 666.

2960002960992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183808813 + ... + 183824915.

It is an arithmetic number, because the mean of its divisors is an integer number (18957242304).

Almost surely, 2^{2960002960992} is an apocalyptic number.

2960002960992 is a gapful number since it is divisible by the number (22) 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 2960002960992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459685783552).

2960002960992 is an abundant number, since it is smaller than the sum of its proper divisors (7959368606112).

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

2960002960992 is a wasteful number, since it uses less digits than its factorization.

2960002960992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16453 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 2960002960992 in words is "two trillion, nine hundred sixty billion, two million, nine hundred sixty thousand, nine hundred ninety-two".