2979027041328 has 640 divisors, whose sum is σ = 10285291699200. Its totient is φ = 815567781888.

The previous prime is 2979027041317. The next prime is 2979027041329. The reversal of 2979027041328 is 8231407209792.

It is a happy number.

2979027041328 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 0 + 270 + 41 + 328 = 666.

It is a super-2 number, since 2×2979027041328² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2979027041329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1021262526 + ... + 1021265442.

It is an arithmetic number, because the mean of its divisors is an integer number (16070768280).

Almost surely, 2^{2979027041328} 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 2979027041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142645849600).

2979027041328 is an abundant number, since it is smaller than the sum of its proper divisors (7306264657872).

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

2979027041328 is a wasteful number, since it uses less digits than its factorization.

2979027041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2979027041328 in words is "two trillion, nine hundred seventy-nine billion, twenty-seven million, forty-one thousand, three hundred twenty-eight".