2968724275200 has 864 divisors, whose sum is σ = 11014806921300. Its totient is φ = 764293939200.

The previous prime is 2968724275193. The next prime is 2968724275211. The reversal of 2968724275200 is 25724278692.

2968724275200 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 7 + 2 + 427 + 5 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7085260591 + ... + 7085261009.

Almost surely, 2^{2968724275200} is an apocalyptic number.

2968724275200 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 2968724275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507403460650).

2968724275200 is an abundant number, since it is smaller than the sum of its proper divisors (8046082646100).

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

2968724275200 is an equidigital number, since it uses as much as digits as its factorization.

2968724275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2968724275200 in words is "two trillion, nine hundred sixty-eight billion, seven hundred twenty-four million, two hundred seventy-five thousand, two hundred".