2879672664 has 64 divisors (see below), whose sum is σ = 7884397440. Its totient is φ = 869212160.

The previous prime is 2879672617. The next prime is 2879672671. The reversal of 2879672664 is 4662769782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46627 + ... + 89069.

It is an arithmetic number, because the mean of its divisors is an integer number (123193710).

Almost surely, 2^2879672664 is an apocalyptic number.

2879672664 is a gapful number since it is divisible by the number (24) 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 2879672664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942198720).

2879672664 is an abundant number, since it is smaller than the sum of its proper divisors (5004724776).

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

2879672664 is a wasteful number, since it uses less digits than its factorization.

2879672664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42720 (or 42716 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 2879672664 is about 53662.5816002175. The cubic root of 2879672664 is about 1422.7034170118.

The spelling of 2879672664 in words is "two billion, eight hundred seventy-nine million, six hundred seventy-two thousand, six hundred sixty-four".