2879440704 has 336 divisors, whose sum is σ = 10173980160. Its totient is φ = 795432960.

The previous prime is 2879440693. The next prime is 2879440723. The reversal of 2879440704 is 4070449782.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 2879440704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624284 + ... + 2625380.

Almost surely, 2^2879440704 is an apocalyptic number.

2879440704 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 2879440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086990080).

2879440704 is an abundant number, since it is smaller than the sum of its proper divisors (7294539456).

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

2879440704 is a wasteful number, since it uses less digits than its factorization.

2879440704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2879440704 is about 53660.4202741648. The cubic root of 2879440704 is about 1422.6652160095.

The spelling of 2879440704 in words is "two billion, eight hundred seventy-nine million, four hundred forty thousand, seven hundred four".