2272961232720 has 320 divisors, whose sum is σ = 7883624582400. Its totient is φ = 601907189760.

The previous prime is 2272961232709. The next prime is 2272961232767. The reversal of 2272961232720 is 272321692722.

2272961232720 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 9 + 612 + 3 + 2 + 7 + 20 = 666.

2272961232720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 655219146 + ... + 655222614.

It is an arithmetic number, because the mean of its divisors is an integer number (24636326820).

Almost surely, 2^{2272961232720} is an apocalyptic number.

2272961232720 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 2272961232720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941812291200).

2272961232720 is an abundant number, since it is smaller than the sum of its proper divisors (5610663349680).

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

2272961232720 is a wasteful number, since it uses less digits than its factorization.

2272961232720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2272961232720 in words is "two trillion, two hundred seventy-two billion, nine hundred sixty-one million, two hundred thirty-two thousand, seven hundred twenty".