2244891801600 has 1080 divisors, whose sum is σ = 9672962218920. Its totient is φ = 513071677440.

The previous prime is 2244891801587. The next prime is 2244891801617. The reversal of 2244891801600 is 61081984422.

2244891801600 is a `hidden beast` number, since 2 + 2 + 4 + 489 + 1 + 8 + 0 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 203207277 + ... + 203218323.

It is an arithmetic number, because the mean of its divisors is an integer number (8956446499).

Almost surely, 2^{2244891801600} is an apocalyptic number.

2244891801600 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 2244891801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836481109460).

2244891801600 is an abundant number, since it is smaller than the sum of its proper divisors (7428070417320).

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

2244891801600 is a wasteful number, since it uses less digits than its factorization.

2244891801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11105 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2244891801600 in words is "two trillion, two hundred forty-four billion, eight hundred ninety-one million, eight hundred one thousand, six hundred".