2272797531072 has 896 divisors, whose sum is σ = 7653923020800. Its totient is φ = 657016012800.

The previous prime is 2272797531071. The next prime is 2272797531073. The reversal of 2272797531072 is 2701357972722.

2272797531072 is a `hidden beast` number, since 227 + 279 + 75 + 3 + 10 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2272797531071) and next prime (2272797531073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272797531071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3289142247 + ... + 3289142937.

It is an arithmetic number, because the mean of its divisors is an integer number (8542324800).

Almost surely, 2^{2272797531072} 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 2272797531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826961510400).

2272797531072 is an abundant number, since it is smaller than the sum of its proper divisors (5381125489728).

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

2272797531072 is a wasteful number, since it uses less digits than its factorization.

2272797531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 2272797531072 in words is "two trillion, two hundred seventy-two billion, seven hundred ninety-seven million, five hundred thirty-one thousand, seventy-two".