2879341824 has 72 divisors (see below), whose sum is σ = 7826394240. Its totient is φ = 939347968.

The previous prime is 2879341819. The next prime is 2879341831. The reversal of 2879341824 is 4281439782.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3789 + ... + 75980.

It is an arithmetic number, because the mean of its divisors is an integer number (108699920).

Almost surely, 2^2879341824 is an apocalyptic number.

2879341824 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 2879341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913197120).

2879341824 is an abundant number, since it is smaller than the sum of its proper divisors (4947052416).

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

2879341824 is an equidigital number, since it uses as much as digits as its factorization.

2879341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79835 (or 79821 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 2879341824 is about 53659.4989167808. The cubic root of 2879341824 is about 1422.6489310475.

The spelling of 2879341824 in words is "two billion, eight hundred seventy-nine million, three hundred forty-one thousand, eight hundred twenty-four".