2979115324416 has 1760 divisors, whose sum is σ = 11760384835584. Its totient is φ = 728580096000.

The previous prime is 2979115324411. The next prime is 2979115324439. The reversal of 2979115324416 is 6144235119792.

2979115324416 is a `hidden beast` number, since 2 + 9 + 7 + 91 + 1 + 532 + 4 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979115324411) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8117480265 + ... + 8117480631.

Almost surely, 2^{2979115324416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979115324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880192417792).

2979115324416 is an abundant number, since it is smaller than the sum of its proper divisors (8781269511168).

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

2979115324416 is a wasteful number, since it uses less digits than its factorization.

2979115324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 2979115324416 in words is "two trillion, nine hundred seventy-nine billion, one hundred fifteen million, three hundred twenty-four thousand, four hundred sixteen".