2242302024800 has 72 divisors (see below), whose sum is σ = 5555721739176. Its totient is φ = 883533911040.

The previous prime is 2242302024791. The next prime is 2242302024827. The reversal of 2242302024800 is 84202032422.

It is a congruent number.

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, 20863397 + ... + 20970596.

It is an arithmetic number, because the mean of its divisors is an integer number (77162801933).

Almost surely, 2^{2242302024800} is an apocalyptic number.

2242302024800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242302024800 is an abundant number, since it is smaller than the sum of its proper divisors (3313419714376).

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

2242302024800 is a wasteful number, since it uses less digits than its factorization.

2242302024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41834080 (or 41834067 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 2242302024800 in words is "two trillion, two hundred forty-two billion, three hundred two million, twenty-four thousand, eight hundred".