2879411808 has 96 divisors (see below), whose sum is σ = 9302743296. Its totient is φ = 759403008.

The previous prime is 2879411803. The next prime is 2879411813. The reversal of 2879411808 is 8081149782.

It is an interprime number because it is at equal distance from previous prime (2879411803) and next prime (2879411813).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879411803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156066 + ... + 173537.

It is an arithmetic number, because the mean of its divisors is an integer number (96903576).

Almost surely, 2^2879411808 is an apocalyptic number.

2879411808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2879411808 is an abundant number, since it is smaller than the sum of its proper divisors (6423331488).

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

2879411808 is a wasteful number, since it uses less digits than its factorization.

2879411808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329636 (or 329628 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The square root of 2879411808 is about 53660.1510247595. The cubic root of 2879411808 is about 1422.6604570446.

The spelling of 2879411808 in words is "two billion, eight hundred seventy-nine million, four hundred eleven thousand, eight hundred eight".