2996568978480 has 3840 divisors, whose sum is σ = 14773454438400. Its totient is φ = 543294259200.

The previous prime is 2996568978479. The next prime is 2996568978523. The reversal of 2996568978480 is 848798656992.

2996568978480 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 5 + 68 + 9 + 78 + 480 = 666.

It is a super-2 number, since 2×2996568978480² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2996568978480.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 42205196845 + ... + 42205196915.

It is an arithmetic number, because the mean of its divisors is an integer number (3847253760).

Almost surely, 2^{2996568978480} is an apocalyptic number.

2996568978480 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 2996568978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386727219200).

2996568978480 is an abundant number, since it is smaller than the sum of its proper divisors (11776885459920).

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

2996568978480 is a wasteful number, since it uses less digits than its factorization.

2996568978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 2996568978480 in words is "two trillion, nine hundred ninety-six billion, five hundred sixty-eight million, nine hundred seventy-eight thousand, four hundred eighty".