2879384640 has 448 divisors, whose sum is σ = 10674339840. Its totient is φ = 650280960.

The previous prime is 2879384633. The next prime is 2879384671. The reversal of 2879384640 is 464839782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22672257 + ... + 22672383.

Almost surely, 2^2879384640 is an apocalyptic number.

2879384640 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 2879384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337169920).

2879384640 is an abundant number, since it is smaller than the sum of its proper divisors (7794955200).

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

2879384640 is a wasteful number, since it uses less digits than its factorization.

2879384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 2879384640 is about 53659.8978754153. The cubic root of 2879384640 is about 1422.6559826399.

The spelling of 2879384640 in words is "two billion, eight hundred seventy-nine million, three hundred eighty-four thousand, six hundred forty".