2582128 has 20 divisors (see below), whose sum is σ = 5075568. Its totient is φ = 1272320.

The previous prime is 2582093. The next prime is 2582143. The reversal of 2582128 is 8212852.

2582128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2582128 is a nontrivial binomial coefficient, being equal to C(2273, 2).

It is a junction number, because it is equal to n+sod(n) for n = 2582096 and 2582105.

It is a congruent number.

It is an unprimeable number.

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, 1 + ... + 2272.

2^2582128 is an apocalyptic number.

2582128 is the 2272-nd triangular number.

2582128 is the 758-th centered nonagonal number.

It is an amenable number.

2582128 is a deficient number, since it is larger than the sum of its proper divisors (2493440).

2582128 is a wasteful number, since it uses less digits than its factorization.

2582128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2346 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 2582128 is about 1606.9001213517. The cubic root of 2582128 is about 137.1910949690.

The spelling of 2582128 in words is "two million, five hundred eighty-two thousand, one hundred twenty-eight".