2979994625280 has 432 divisors, whose sum is σ = 10748573821440. Its totient is φ = 761407488000.

The previous prime is 2979994625273. The next prime is 2979994625317. The reversal of 2979994625280 is 825264999792.

2979994625280 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 9 + 94 + 6 + 2 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2979994625199 and 2979994625208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36027811 + ... + 36110429.

It is an arithmetic number, because the mean of its divisors is an integer number (24880957920).

Almost surely, 2^{2979994625280} is an apocalyptic number.

2979994625280 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 2979994625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374286910720).

2979994625280 is an abundant number, since it is smaller than the sum of its proper divisors (7768579196160).

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

2979994625280 is a wasteful number, since it uses less digits than its factorization.

2979994625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82778 (or 82761 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 2979994625280 in words is "two trillion, nine hundred seventy-nine billion, nine hundred ninety-four million, six hundred twenty-five thousand, two hundred eighty".