2879993509164 has 72 divisors (see below), whose sum is σ = 7724046683808. Its totient is φ = 901671989760.

The previous prime is 2879993509109. The next prime is 2879993509171. The reversal of 2879993509164 is 4619053999782.

2879993509164 is a `hidden beast` number, since 28 + 7 + 9 + 9 + 93 + 509 + 1 + 6 + 4 = 666.

It is a super-3 number, since 3×2879993509164³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2879993509092 and 2879993509101.

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, 4533447 + ... + 5129534.

It is an arithmetic number, because the mean of its divisors is an integer number (107278426164).

It is a 1-persistent number, because it is pandigital, but 2⋅2879993509164 = 5759987018328 is not.

Almost surely, 2^{2879993509164} is an apocalyptic number.

It is an amenable number.

2879993509164 is an abundant number, since it is smaller than the sum of its proper divisors (4844053174644).

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

2879993509164 is a wasteful number, since it uses less digits than its factorization.

2879993509164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663495 (or 9663490 counting only the distinct ones).

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

The spelling of 2879993509164 in words is "two trillion, eight hundred seventy-nine billion, nine hundred ninety-three million, five hundred nine thousand, one hundred sixty-four".