2634563584 has 45 divisors (see below), whose sum is σ = 5282138701. Its totient is φ = 1313996800.

The previous prime is 2634563557. The next prime is 2634563597. The reversal of 2634563584 is 4853654362.

The square root of 2634563584 is 51328.

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., 2608349184 + 26214400 = 51072^2 + 5120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6569784 + ... + 6570184.

Almost surely, 2^2634563584 is an apocalyptic number.

2634563584 is the 51328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2634563584

2634563584 is an abundant number, since it is smaller than the sum of its proper divisors (2647575117).

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

2634563584 is an frugal number, since it uses more digits than its factorization.

2634563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 403 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The cubic root of 2634563584 is about 1381.1353088256.

The spelling of 2634563584 in words is "two billion, six hundred thirty-four million, five hundred sixty-three thousand, five hundred eighty-four".