2079629529600 has 1920 divisors, whose sum is σ = 8880240771072. Its totient is φ = 417831321600.

The previous prime is 2079629529589. The next prime is 2079629529629. The reversal of 2079629529600 is 69259269702.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4939737390 + ... + 4939737810.

Almost surely, 2^{2079629529600} is an apocalyptic number.

2079629529600 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 2079629529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440120385536).

2079629529600 is an abundant number, since it is smaller than the sum of its proper divisors (6800611241472).

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

2079629529600 is a wasteful number, since it uses less digits than its factorization.

2079629529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 2079629529600 in words is "two trillion, seventy-nine billion, six hundred twenty-nine million, five hundred twenty-nine thousand, six hundred".