2879138760 has 32 divisors (see below), whose sum is σ = 8637416640. Its totient is φ = 767770304.

The previous prime is 2879138749. The next prime is 2879138783. The reversal of 2879138760 is 678319782.

2879138760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2879138760³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11996292 + ... + 11996531.

It is an arithmetic number, because the mean of its divisors is an integer number (269919270).

Almost surely, 2^2879138760 is an apocalyptic number.

2879138760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2879138760 is an abundant number, since it is smaller than the sum of its proper divisors (5758277880).

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

2879138760 is a wasteful number, since it uses less digits than its factorization.

2879138760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23992837 (or 23992833 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 2879138760 is about 53657.6067300807. The cubic root of 2879138760 is about 1422.6154864166.

The spelling of 2879138760 in words is "two billion, eight hundred seventy-nine million, one hundred thirty-eight thousand, seven hundred sixty".