2384564224 has 117 divisors (see below), whose sum is σ = 5598442017. Its totient is φ = 1012580352.

The previous prime is 2384564213. The next prime is 2384564233. The reversal of 2384564224 is 4224654832.

The square root of 2384564224 is 48832.

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., 1662029824 + 722534400 = 40768^2 + 26880^2 .

It is a super-2 number, since 2×2384564224² = 11372293076761444352, which contains 22 as substring.

Its product of digits (368640) is a multiple of the sum of its prime factors (256).

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, 21876682 + ... + 21876790.

Almost surely, 2^2384564224 is an apocalyptic number.

2384564224 is the 48832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2384564224

2384564224 is an abundant number, since it is smaller than the sum of its proper divisors (3213877793).

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

2384564224 is an frugal number, since it uses more digits than its factorization.

2384564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 118 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The cubic root of 2384564224 is about 1335.9893864122.

The spelling of 2384564224 in words is "two billion, three hundred eighty-four million, five hundred sixty-four thousand, two hundred twenty-four".