2968857324000 has 288 divisors, whose sum is σ = 10547935201440. Its totient is φ = 790834176000.

The previous prime is 2968857323959. The next prime is 2968857324061. The reversal of 2968857324000 is 4237588692.

2968857324000 is a `hidden beast` number, since 2 + 9 + 68 + 8 + 573 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2968857324000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33399615 + ... + 33488385.

It is an arithmetic number, because the mean of its divisors is an integer number (36624775005).

Almost surely, 2^{2968857324000} is an apocalyptic number.

2968857324000 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 2968857324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273967600720).

2968857324000 is an abundant number, since it is smaller than the sum of its proper divisors (7579077877440).

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

2968857324000 is a wasteful number, since it uses less digits than its factorization.

2968857324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89731 (or 89710 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2968857324000 in words is "two trillion, nine hundred sixty-eight billion, eight hundred fifty-seven million, three hundred twenty-four thousand".