2879109120 has 384 divisors, whose sum is σ = 10083528000. Its totient is φ = 698351616.

The previous prime is 2879109091. The next prime is 2879109133. The reversal of 2879109120 is 219019782.

2879109120 = 392² + 393² + ... + 2056².

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19322806 + ... + 19322954.

Almost surely, 2^2879109120 is an apocalyptic number.

2879109120 is a gapful number since it is divisible by the number (20) 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 2879109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764000).

2879109120 is an abundant number, since it is smaller than the sum of its proper divisors (7204418880).

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

2879109120 is a wasteful number, since it uses less digits than its factorization.

2879109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 2879109120 is about 53657.3305336745. The cubic root of 2879109120 is about 1422.6106045785.

The spelling of 2879109120 in words is "two billion, eight hundred seventy-nine million, one hundred nine thousand, one hundred twenty".