2442413123200 has 96 divisors (see below), whose sum is σ = 6035252736960. Its totient is φ = 976685276160.

The previous prime is 2442413123177. The next prime is 2442413123219. The reversal of 2442413123200 is 23213142442.

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 11 ways as a sum of consecutive naturals, for example, 11242809 + ... + 11457991.

It is an arithmetic number, because the mean of its divisors is an integer number (62867216010).

Almost surely, 2^{2442413123200} is an apocalyptic number.

2442413123200 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 2442413123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017626368480).

2442413123200 is an abundant number, since it is smaller than the sum of its proper divisors (3592839613760).

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

2442413123200 is a wasteful number, since it uses less digits than its factorization.

2442413123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218754 (or 218737 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2442413123200 its reverse (23213142442), we get a palindrome (2465626265642).

The spelling of 2442413123200 in words is "two trillion, four hundred forty-two billion, four hundred thirteen million, one hundred twenty-three thousand, two hundred".