2272720411584 has 504 divisors, whose sum is σ = 7857503866368. Its totient is φ = 625578992640.

The previous prime is 2272720411583. The next prime is 2272720411589. The reversal of 2272720411584 is 4851140272722.

2272720411584 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 7 + 20 + 41 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2272720411584² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272720411583) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198606567 + ... + 198618009.

Almost surely, 2^{2272720411584} is an apocalyptic number.

2272720411584 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 2272720411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928751933184).

2272720411584 is an abundant number, since it is smaller than the sum of its proper divisors (5584783454784).

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

2272720411584 is a wasteful number, since it uses less digits than its factorization.

2272720411584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11733 (or 11713 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2272720411584 in words is "two trillion, two hundred seventy-two billion, seven hundred twenty million, four hundred eleven thousand, five hundred eighty-four".