2582768 has 20 divisors (see below), whose sum is σ = 5029440. Its totient is φ = 1284864.

The previous prime is 2582761. The next prime is 2582771. The reversal of 2582768 is 8672852.

2582768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582761) 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, 5153 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (251472).

2^2582768 is an apocalyptic number.

It is an amenable number.

2582768 is a deficient number, since it is larger than the sum of its proper divisors (2446672).

2582768 is a wasteful number, since it uses less digits than its factorization.

2582768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 2582768 is about 1607.0992502021. The cubic root of 2582768 is about 137.2024286503.

The spelling of 2582768 in words is "two million, five hundred eighty-two thousand, seven hundred sixty-eight".