2458879200 has 144 divisors (see below), whose sum is σ = 8893024560. Its totient is φ = 655695360.

The previous prime is 2458879127. The next prime is 2458879211. The reversal of 2458879200 is 29788542.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 35319 + ... + 78518.

It is an arithmetic number, because the mean of its divisors is an integer number (61757115).

Almost surely, 2^2458879200 is an apocalyptic number.

2458879200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2458879200 is an abundant number, since it is smaller than the sum of its proper divisors (6434145360).

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

2458879200 is a wasteful number, since it uses less digits than its factorization.

2458879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113866 (or 113847 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2458879200 is about 49587.0870287820. The cubic root of 2458879200 is about 1349.7263642928.

The spelling of 2458879200 in words is "two billion, four hundred fifty-eight million, eight hundred seventy-nine thousand, two hundred".