2244325853952 has 2304 divisors, whose sum is σ = 9010606080000. Its totient is φ = 553063956480.

The previous prime is 2244325853929. The next prime is 2244325853989. The reversal of 2244325853952 is 2593585234422.

2244325853952 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 3 + 2 + 58 + 539 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72397608177 + ... + 72397608207.

Almost surely, 2^{2244325853952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244325853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505303040000).

2244325853952 is an abundant number, since it is smaller than the sum of its proper divisors (6766280226048).

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

2244325853952 is an frugal number, since it uses more digits than its factorization.

2244325853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 85 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 2244325853952 in words is "two trillion, two hundred forty-four billion, three hundred twenty-five million, eight hundred fifty-three thousand, nine hundred fifty-two".