2079586073929 has 135 divisors (see below), whose sum is σ = 2792258880243. Its totient is φ = 1544152978368.

The previous prime is 2079586073821. The next prime is 2079586073941. The reversal of 2079586073929 is 9293706859702.

The square root of 2079586073929 is 1442077.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1968731703225 + 110854370704 = 1403115^2 + 332948^2 .

It is not a de Polignac number, because 2079586073929 - 2⁷ = 2079586073801 is a prime.

It is a super-3 number, since 3×2079586073929³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2079586073959) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 39237473067 + ... + 39237473119.

Almost surely, 2^{2079586073929} is an apocalyptic number.

2079586073929 is the 1442077-th square number.

2079586073929 is the 721039-th centered octagonal number.

It is an amenable number.

2079586073929 is a deficient number, since it is larger than the sum of its proper divisors (712672806314).

2079586073929 is an frugal number, since it uses more digits than its factorization.

2079586073929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 67.

The spelling of 2079586073929 in words is "two trillion, seventy-nine billion, five hundred eighty-six million, seventy-three thousand, nine hundred twenty-nine".