2242454544000 has 768 divisors, whose sum is σ = 9110881503360. Its totient is φ = 543614976000.

The previous prime is 2242454543993. The next prime is 2242454544061. The reversal of 2242454544000 is 4454542422.

2242454544000 is a `hidden beast` number, since 2 + 2 + 4 + 245 + 4 + 5 + 4 + 400 + 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42741784 + ... + 42794216.

Almost surely, 2^{2242454544000} is an apocalyptic number.

2242454544000 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 2242454544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555440751680).

2242454544000 is an abundant number, since it is smaller than the sum of its proper divisors (6868426959360).

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

2242454544000 is an equidigital number, since it uses as much as digits as its factorization.

2242454544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52488 (or 52454 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

The spelling of 2242454544000 in words is "two trillion, two hundred forty-two billion, four hundred fifty-four million, five hundred forty-four thousand".