2244435621120 has 2592 divisors, whose sum is σ = 10393915424256. Its totient is φ = 436776468480.

The previous prime is 2244435621089. The next prime is 2244435621133. The reversal of 2244435621120 is 211265344422.

2244435621120 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 4 + 3 + 5 + 621 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16382741692 + ... + 16382741828.

Almost surely, 2^{2244435621120} is an apocalyptic number.

2244435621120 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 2244435621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196957712128).

2244435621120 is an abundant number, since it is smaller than the sum of its proper divisors (8149479803136).

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

2244435621120 is a wasteful number, since it uses less digits than its factorization.

2244435621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2244435621120 in words is "two trillion, two hundred forty-four billion, four hundred thirty-five million, six hundred twenty-one thousand, one hundred twenty".