2585628 has 48 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 849024.

The previous prime is 2585623. The next prime is 2585641. The reversal of 2585628 is 8265852.

2585628 is a `hidden beast` number, since 25 + 8 + 5 + 628 = 666.

2585628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2585592 and 2585601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585623) 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 15 ways as a sum of consecutive naturals, for example, 9478 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

2^2585628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2585628 is an abundant number, since it is smaller than the sum of its proper divisors (4218372).

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

2585628 is a wasteful number, since it uses less digits than its factorization.

2585628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2585628 is about 1607.9888059312. The cubic root of 2585628 is about 137.2530531734.

Adding to 2585628 its sum of digits (36), we get a square (2585664 = 1608²).

It can be divided in two parts, 258 and 5628, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 2585628 in words is "two million, five hundred eighty-five thousand, six hundred twenty-eight".