2272532765184 has 640 divisors, whose sum is σ = 7866708284160. Its totient is φ = 648077967360.

The previous prime is 2272532765119. The next prime is 2272532765207. The reversal of 2272532765184 is 4815672352722.

2272532765184 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 53 + 2 + 76 + 518 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2272532765184.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209386702 + ... + 209397554.

It is an arithmetic number, because the mean of its divisors is an integer number (12291731694).

Almost surely, 2^{2272532765184} is an apocalyptic number.

2272532765184 is a gapful number since it is divisible by the number (24) 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 2272532765184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933354142080).

2272532765184 is an abundant number, since it is smaller than the sum of its proper divisors (5594175518976).

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

2272532765184 is an equidigital number, since it uses as much as digits as its factorization.

2272532765184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10886 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 2272532765184 in words is "two trillion, two hundred seventy-two billion, five hundred thirty-two million, seven hundred sixty-five thousand, one hundred eighty-four".