2272771584 has 120 divisors (see below), whose sum is σ = 6599602152. Its totient is φ = 752947200.

The previous prime is 2272771547. The next prime is 2272771601. The reversal of 2272771584 is 4851772722.

2272771584 is a `hidden beast` number, since 227 + 277 + 158 + 4 = 666.

2272771584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795759 + ... + 798609.

Almost surely, 2^2272771584 is an apocalyptic number.

2272771584 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 2272771584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299801076).

2272771584 is an abundant number, since it is smaller than the sum of its proper divisors (4326830568).

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

2272771584 is a wasteful number, since it uses less digits than its factorization.

2272771584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3029 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 2272771584 is about 47673.5942005635. The cubic root of 2272771584 is about 1314.7764917685.

The spelling of 2272771584 in words is "two billion, two hundred seventy-two million, seven hundred seventy-one thousand, five hundred eighty-four".