2244027801600 has 2688 divisors, whose sum is σ = 9829170892800. Its totient is φ = 496867737600.

The previous prime is 2244027801599. The next prime is 2244027801607. The reversal of 2244027801600 is 61087204422.

2244027801600 is a `hidden beast` number, since 2 + 2 + 4 + 40 + 2 + 7 + 8 + 0 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244027801607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42340147174 + ... + 42340147226.

It is an arithmetic number, because the mean of its divisors is an integer number (3656685600).

Almost surely, 2^{2244027801600} is an apocalyptic number.

2244027801600 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 2244027801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914585446400).

2244027801600 is an abundant number, since it is smaller than the sum of its proper divisors (7585143091200).

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

2244027801600 is a wasteful number, since it uses less digits than its factorization.

2244027801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2244027801600 in words is "two trillion, two hundred forty-four billion, twenty-seven million, eight hundred one thousand, six hundred".