2564032 has 14 divisors (see below), whose sum is σ = 5088128. Its totient is φ = 1281984.

The previous prime is 2564027. The next prime is 2564039. The reversal of 2564032 is 2304652.

It is a happy number.

2564032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 6⁵ + 4⁹ + 0 + 3¹¹ + 2¹⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2563994 and 2564012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564039) 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 as a sum of consecutive naturals, namely, 19968 + ... + 20095.

2^2564032 is an apocalyptic number.

It is an amenable number.

2564032 is a deficient number, since it is larger than the sum of its proper divisors (2524096).

2564032 is an equidigital number, since it uses as much as digits as its factorization.

2564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40075 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2564032 is about 1601.2595042653. The cubic root of 2564032 is about 136.8698570519.

Adding to 2564032 its reverse (2304652), we get a palindrome (4868684).

The spelling of 2564032 in words is "two million, five hundred sixty-four thousand, thirty-two".