2613996579168 has 144 divisors (see below), whose sum is σ = 8051640302160. Its totient is φ = 799657270272.

The previous prime is 2613996579143. The next prime is 2613996579179. The reversal of 2613996579168 is 8619756993162.

2613996579168 is a `hidden beast` number, since 2 + 6 + 1 + 39 + 9 + 6 + 579 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2613996579096 and 2613996579105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370158 + ... + 2665581.

It is an arithmetic number, because the mean of its divisors is an integer number (55914168765).

Almost surely, 2^{2613996579168} is an apocalyptic number.

It is an amenable number.

2613996579168 is an abundant number, since it is smaller than the sum of its proper divisors (5437643722992).

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

2613996579168 is a wasteful number, since it uses less digits than its factorization.

2613996579168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035941 (or 4035930 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 2613996579168 in words is "two trillion, six hundred thirteen billion, nine hundred ninety-six million, five hundred seventy-nine thousand, one hundred sixty-eight".