2272619584 has 63 divisors (see below), whose sum is σ = 4633331221. Its totient is φ = 1105990400.

The previous prime is 2272619567. The next prime is 2272619603. The reversal of 2272619584 is 4859162722.

The square root of 2272619584 is 47672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2183505984 + 89113600 = 46728^2 + 9440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22501134 + ... + 22501234.

Almost surely, 2^2272619584 is an apocalyptic number.

2272619584 is the 47672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272619584

2272619584 is an abundant number, since it is smaller than the sum of its proper divisors (2360711637).

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

2272619584 is an frugal number, since it uses more digits than its factorization.

2272619584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 162 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The cubic root of 2272619584 is about 1314.7471809359.

The spelling of 2272619584 in words is "two billion, two hundred seventy-two million, six hundred nineteen thousand, five hundred eighty-four".