2242125648000 has 768 divisors, whose sum is σ = 9743711927040. Its totient is φ = 482335948800.

The previous prime is 2242125647963. The next prime is 2242125648023. The reversal of 2242125648000 is 8465212422.

2242125648000 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 2 + 5 + 648 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17070579 + ... + 17201421.

It is an arithmetic number, because the mean of its divisors is an integer number (12687124905).

Almost surely, 2^{2242125648000} is an apocalyptic number.

2242125648000 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 2242125648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871855963520).

2242125648000 is an abundant number, since it is smaller than the sum of its proper divisors (7501586279040).

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

2242125648000 is a wasteful number, since it uses less digits than its factorization.

2242125648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130902 (or 130877 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2242125648000 in words is "two trillion, two hundred forty-two billion, one hundred twenty-five million, six hundred forty-eight thousand".