2563599424 has 21 divisors (see below), whose sum is σ = 5087946517. Its totient is φ = 1281597184.

The previous prime is 2563599419. The next prime is 2563599433. The reversal of 2563599424 is 4249953652.

The square root of 2563599424 is 50632.

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., 1956469824 + 607129600 = 44232^2 + 24640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 401892 + ... + 408220.

Almost surely, 2^2563599424 is an apocalyptic number.

2563599424 is the 50632-nd square number.

It is an amenable number.

2563599424 is a deficient number, since it is larger than the sum of its proper divisors (2524347093).

2563599424 is an frugal number, since it uses more digits than its factorization.

2563599424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 6331 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 49.

The cubic root of 2563599424 is about 1368.6215954718.

Multiplying 2563599424 by its sum of digits (49), we get a square (125616371776 = 354424²).

The spelling of 2563599424 in words is "two billion, five hundred sixty-three million, five hundred ninety-nine thousand, four hundred twenty-four".