2991168460800 has 432 divisors, whose sum is σ = 11536469118720. Its totient is φ = 736286146560.

The previous prime is 2991168460771. The next prime is 2991168460801. The reversal of 2991168460800 is 80648611992.

2991168460800 is a `hidden beast` number, since 2 + 9 + 91 + 16 + 8 + 460 + 80 + 0 = 666.

It is a super-2 number, since 2×2991168460800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991168460801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5740737 + ... + 6240063.

Almost surely, 2^{2991168460800} is an apocalyptic number.

2991168460800 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 2991168460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768234559360).

2991168460800 is an abundant number, since it is smaller than the sum of its proper divisors (8545300657920).

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

2991168460800 is a wasteful number, since it uses less digits than its factorization.

2991168460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499378 (or 499350 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2991168460800 in words is "two trillion, nine hundred ninety-one billion, one hundred sixty-eight million, four hundred sixty thousand, eight hundred".