2561824 has 24 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 1271616.

The previous prime is 2561821. The next prime is 2561833. The reversal of 2561824 is 4281652.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2561792 and 2561801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6957 + ... + 7315.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

2^2561824 is an apocalyptic number.

It is an amenable number.

2561824 is a deficient number, since it is larger than the sum of its proper divisors (2518496).

2561824 is a wasteful number, since it uses less digits than its factorization.

2561824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2561824 is about 1600.5698985049. The cubic root of 2561824 is about 136.8305575639.

It can be divided in two parts, 256 and 1824, that added together give a triangular number (2080 = T₆₄).

The spelling of 2561824 in words is "two million, five hundred sixty-one thousand, eight hundred twenty-four".