2401879200 has 144 divisors (see below), whose sum is σ = 8935053120. Its totient is φ = 548997120.

The previous prime is 2401879199. The next prime is 2401879229. The reversal of 2401879200 is 29781042.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 54685 + ... + 88284.

It is an arithmetic number, because the mean of its divisors is an integer number (62048980).

Almost surely, 2^2401879200 is an apocalyptic number.

2401879200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401879200 is an abundant number, since it is smaller than the sum of its proper divisors (6533173920).

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

2401879200 is a wasteful number, since it uses less digits than its factorization.

2401879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142999 (or 142986 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2401879200 is about 49008.9706074306. The cubic root of 2401879200 is about 1339.2152529991.

The spelling of 2401879200 in words is "two billion, four hundred one million, eight hundred seventy-nine thousand, two hundred".