2505636 has 72 divisors (see below), whose sum is σ = 7402304. Its totient is φ = 699840.

The previous prime is 2505631. The next prime is 2505641. The reversal of 2505636 is 6365052.

2505636 is a `hidden beast` number, since 25 + 0 + 5 + 636 = 666.

2505636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505631) and next prime (2505641).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2505631) 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 23 ways as a sum of consecutive naturals, for example, 15291 + ... + 15453.

2^2505636 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 2505636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701152).

2505636 is an abundant number, since it is smaller than the sum of its proper divisors (4896668).

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

2505636 is a wasteful number, since it uses less digits than its factorization.

2505636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2505636 is about 1582.9200864226. The cubic root of 2505636 is about 135.8227940016.

It can be divided in two parts, 250 and 5636, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 2505636 in words is "two million, five hundred five thousand, six hundred thirty-six".