2563936 has 24 divisors (see below), whose sum is σ = 5314680. Its totient is φ = 1214208.

The previous prime is 2563933. The next prime is 2563937. The reversal of 2563936 is 6393652.

2563936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹⁹ + 5⁹ + 6 + 3⁹ + 9 + 3¹⁰ + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1501 + ... + 2716.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

2^2563936 is an apocalyptic number.

It is an amenable number.

2563936 is an abundant number, since it is smaller than the sum of its proper divisors (2750744).

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

2563936 is a wasteful number, since it uses less digits than its factorization.

2563936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4238 counting only the distinct ones).

The product of its digits is 29160, while the sum is 34.

The square root of 2563936 is about 1601.2295275819. The cubic root of 2563936 is about 136.8681488477.

The spelling of 2563936 in words is "two million, five hundred sixty-three thousand, nine hundred thirty-six".