2079687998976 has 960 divisors, whose sum is σ = 7053298560000. Its totient is φ = 541033758720.

The previous prime is 2079687998951. The next prime is 2079687998989. The reversal of 2079687998976 is 6798997869702.

It is a junction number, because it is equal to n+sod(n) for n = 2079687998892 and 2079687998901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4631821600 + ... + 4631822048.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186000).

Almost surely, 2^{2079687998976} 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 2079687998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526649280000).

2079687998976 is an abundant number, since it is smaller than the sum of its proper divisors (4973610561024).

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

2079687998976 is a wasteful number, since it uses less digits than its factorization.

2079687998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 10369949184, while the sum is 87.

The spelling of 2079687998976 in words is "two trillion, seventy-nine billion, six hundred eighty-seven million, nine hundred ninety-eight thousand, nine hundred seventy-six".