2879989344 has 144 divisors (see below), whose sum is σ = 8863126272. Its totient is φ = 918200448.

The previous prime is 2879989339. The next prime is 2879989379. The reversal of 2879989344 is 4439899782.

2879989344 is a `hidden beast` number, since 287 + 9 + 9 + 8 + 9 + 344 = 666.

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

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, 170797 + ... + 186899.

It is an arithmetic number, because the mean of its divisors is an integer number (61549488).

Almost surely, 2^2879989344 is an apocalyptic number.

2879989344 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 2879989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431563136).

2879989344 is an abundant number, since it is smaller than the sum of its proper divisors (5983136928).

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

2879989344 is a wasteful number, since it uses less digits than its factorization.

2879989344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16151 (or 16131 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 2879989344 is about 53665.5321784849. The cubic root of 2879989344 is about 1422.7555670598.

The spelling of 2879989344 in words is "two billion, eight hundred seventy-nine million, nine hundred eighty-nine thousand, three hundred forty-four".