2244775993344 has 504 divisors, whose sum is σ = 6887418835752. Its totient is φ = 704037519360.

The previous prime is 2244775993261. The next prime is 2244775993387. The reversal of 2244775993344 is 4433995774422.

2244775993344 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 7 + 7 + 599 + 3 + 34 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2542214727 + ... + 2542215609.

It is an arithmetic number, because the mean of its divisors is an integer number (13665513563).

Almost surely, 2^{2244775993344} is an apocalyptic number.

2244775993344 is a gapful number since it is divisible by the number (24) 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 2244775993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443709417876).

2244775993344 is an abundant number, since it is smaller than the sum of its proper divisors (4642642842408).

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

2244775993344 is an equidigital number, since it uses as much as digits as its factorization.

2244775993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 958 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 2244775993344 in words is "two trillion, two hundred forty-four billion, seven hundred seventy-five million, nine hundred ninety-three thousand, three hundred forty-four".