2968062652800 has 1728 divisors, whose sum is σ = 12995729313840. Its totient is φ = 666770227200.

The previous prime is 2968062652799. The next prime is 2968062652859. The reversal of 2968062652800 is 82562608692.

2968062652800 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 0 + 626 + 5 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 2324245762 + ... + 2324247038.

Almost surely, 2^{2968062652800} is an apocalyptic number.

2968062652800 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 2968062652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497864656920).

2968062652800 is an abundant number, since it is smaller than the sum of its proper divisors (10027666661040).

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

2968062652800 is a wasteful number, since it uses less digits than its factorization.

2968062652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2968062652800 in words is "two trillion, nine hundred sixty-eight billion, sixty-two million, six hundred fifty-two thousand, eight hundred".