2879513340 has 96 divisors (see below), whose sum is σ = 8805210624. Its totient is φ = 697301760.

The previous prime is 2879513323. The next prime is 2879513369. The reversal of 2879513340 is 433159782.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2879513292 and 2879513301.

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, 814657 + ... + 818183.

It is an arithmetic number, because the mean of its divisors is an integer number (91720944).

Almost surely, 2^2879513340 is an apocalyptic number.

2879513340 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 2879513340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402605312).

2879513340 is an abundant number, since it is smaller than the sum of its proper divisors (5925697284).

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

2879513340 is a wasteful number, since it uses less digits than its factorization.

2879513340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2879513340 is about 53661.0970815916. The cubic root of 2879513340 is about 1422.6771784995.

The spelling of 2879513340 in words is "two billion, eight hundred seventy-nine million, five hundred thirteen thousand, three hundred forty".