2979178944896 has 288 divisors, whose sum is σ = 8000876680920. Its totient is φ = 1092434165760.

The previous prime is 2979178944871. The next prime is 2979178944919. The reversal of 2979178944896 is 6984498719792.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19863980 + ... + 20013396.

Almost surely, 2^{2979178944896} 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 2979178944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000438340460).

2979178944896 is an abundant number, since it is smaller than the sum of its proper divisors (5021697736024).

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

2979178944896 is a wasteful number, since it uses less digits than its factorization.

2979178944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149490 (or 149454 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 83.

The spelling of 2979178944896 in words is "two trillion, nine hundred seventy-nine billion, one hundred seventy-eight million, nine hundred forty-four thousand, eight hundred ninety-six".