2879289504 has 432 divisors, whose sum is σ = 10541748672. Its totient is φ = 756946944.

The previous prime is 2879289499. The next prime is 2879289521. The reversal of 2879289504 is 4059829782.

2879289504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198852 + ... + 9199164.

It is an arithmetic number, because the mean of its divisors is an integer number (24402196).

Almost surely, 2^2879289504 is an apocalyptic number.

2879289504 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 2879289504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270874336).

2879289504 is an abundant number, since it is smaller than the sum of its proper divisors (7662459168).

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

2879289504 is a wasteful number, since it uses less digits than its factorization.

2879289504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2879289504 is about 53659.0113960367. The cubic root of 2879289504 is about 1422.6403140965.

The spelling of 2879289504 in words is "two billion, eight hundred seventy-nine million, two hundred eighty-nine thousand, five hundred four".