2079634979520 has 784 divisors, whose sum is σ = 8645948631360. Its totient is φ = 466356953088.

The previous prime is 2079634979453. The next prime is 2079634979537. The reversal of 2079634979520 is 259794369702.

2079634979520 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 6 + 34 + 9 + 79 + 520 = 666.

It is a super-3 number, since 3×2079634979520³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 86534866 + ... + 86558894.

Almost surely, 2^{2079634979520} is an apocalyptic number.

2079634979520 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 2079634979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322974315680).

2079634979520 is an abundant number, since it is smaller than the sum of its proper divisors (6566313651840).

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

2079634979520 is an equidigital number, since it uses as much as digits as its factorization.

2079634979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24124 (or 24099 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 2079634979520 in words is "two trillion, seventy-nine billion, six hundred thirty-four million, nine hundred seventy-nine thousand, five hundred twenty".