2879638736 has 80 divisors (see below), whose sum is σ = 6109765200. Its totient is φ = 1306865664.

The previous prime is 2879638733. The next prime is 2879638739. The reversal of 2879638736 is 6378369782.

2879638736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2879638733) and next prime (2879638739).

It can be written as a sum of positive squares in 8 ways, for example, as 672400 + 2878966336 = 820^2 + 53656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879638733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3559100 + ... + 3559908.

It is an arithmetic number, because the mean of its divisors is an integer number (76372065).

Almost surely, 2^2879638736 is an apocalyptic number.

2879638736 is a gapful number since it is divisible by the number (26) 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 2879638736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054882600).

2879638736 is an abundant number, since it is smaller than the sum of its proper divisors (3230126464).

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

2879638736 is a wasteful number, since it uses less digits than its factorization.

2879638736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 59.

The square root of 2879638736 is about 53662.2654758444. The cubic root of 2879638736 is about 1422.6978296092.

The spelling of 2879638736 in words is "two billion, eight hundred seventy-nine million, six hundred thirty-eight thousand, seven hundred thirty-six".