2242042446600 has 576 divisors, whose sum is σ = 8932315616640. Its totient is φ = 497724825600.

The previous prime is 2242042446599. The next prime is 2242042446607. The reversal of 2242042446600 is 66442402422.

2242042446600 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 4 + 2 + 4 + 46 + 600 = 666.

It is a super-2 number, since 2×2242042446600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2242042446607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12364189 + ... + 12544211.

It is an arithmetic number, because the mean of its divisors is an integer number (15507492390).

Almost surely, 2^{2242042446600} is an apocalyptic number.

2242042446600 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 2242042446600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466157808320).

2242042446600 is an abundant number, since it is smaller than the sum of its proper divisors (6690273170040).

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

2242042446600 is a wasteful number, since it uses less digits than its factorization.

2242042446600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180110 (or 180098 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2242042446600 in words is "two trillion, two hundred forty-two billion, forty-two million, four hundred forty-six thousand, six hundred".