2979714324990 has 192 divisors, whose sum is σ = 7778515582656. Its totient is φ = 730180878336.

The previous prime is 2979714324949. The next prime is 2979714324991. The reversal of 2979714324990 is 994234179792.

It is a super-2 number, since 2×2979714324990² (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 (2979714324991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2079353314 + ... + 2079354746.

It is an arithmetic number, because the mean of its divisors is an integer number (40513101993).

Almost surely, 2^{2979714324990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979714324990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889257791328).

2979714324990 is an abundant number, since it is smaller than the sum of its proper divisors (4798801257666).

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

2979714324990 is a wasteful number, since it uses less digits than its factorization.

2979714324990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 2979714324990 in words is "two trillion, nine hundred seventy-nine billion, seven hundred fourteen million, three hundred twenty-four thousand, nine hundred ninety".