2244504453120 has 836 divisors, whose sum is σ = 8358781041180. Its totient is φ = 577895399424.

The previous prime is 2244504453119. The next prime is 2244504453133. The reversal of 2244504453120 is 213544054422.

2244504453120 is a `hidden beast` number, since 2 + 2 + 44 + 50 + 445 + 3 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 990677827584 + 1253826625536 = 995328^2 + 1119744^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 77396705266 + ... + 77396705294.

Almost surely, 2^{2244504453120} is an apocalyptic number.

2244504453120 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 2244504453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179390520590).

2244504453120 is an abundant number, since it is smaller than the sum of its proper divisors (6114276588060).

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

2244504453120 is an frugal number, since it uses more digits than its factorization.

2244504453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2244504453120 in words is "two trillion, two hundred forty-four billion, five hundred four million, four hundred fifty-three thousand, one hundred twenty".