2505906 has 24 divisors (see below), whose sum is σ = 5847660. Its totient is φ = 770976.

The previous prime is 2505901. The next prime is 2505917. The reversal of 2505906 is 6095052.

2505906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2480625 + 25281 = 1575^2 + 159^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2505906.

It is not an unprimeable number, because it can be changed into a prime (2505901) 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 11 ways as a sum of consecutive naturals, for example, 5121 + ... + 5588.

2^2505906 is an apocalyptic number.

2505906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2505906 is an abundant number, since it is smaller than the sum of its proper divisors (3341754).

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

2505906 is a wasteful number, since it uses less digits than its factorization.

2505906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2505906 is about 1583.0053695424. The cubic root of 2505906 is about 135.8276724486.

The spelling of 2505906 in words is "two million, five hundred five thousand, nine hundred six".