2079706516992 has 640 divisors, whose sum is σ = 6812908945920. Its totient is φ = 622464860160.

The previous prime is 2079706516961. The next prime is 2079706517051. The reversal of 2079706516992 is 2996156079702.

2079706516992 is a `hidden beast` number, since 20 + 7 + 9 + 7 + 0 + 6 + 516 + 9 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999377392 + ... + 999379472.

It is an arithmetic number, because the mean of its divisors is an integer number (10645170228).

Almost surely, 2^{2079706516992} 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 2079706516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406454472960).

2079706516992 is an abundant number, since it is smaller than the sum of its proper divisors (4733202428928).

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

2079706516992 is a wasteful number, since it uses less digits than its factorization.

2079706516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 2079706516992 in words is "two trillion, seventy-nine billion, seven hundred six million, five hundred sixteen thousand, nine hundred ninety-two".