2505852 has 36 divisors (see below), whose sum is σ = 6473376. Its totient is φ = 816960.

The previous prime is 2505847. The next prime is 2505857. The reversal of 2505852 is 2585052.

It is an interprime number because it is at equal distance from previous prime (2505847) and next prime (2505857).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 2432.

It is an arithmetic number, because the mean of its divisors is an integer number (179816).

2^2505852 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 2505852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236688).

2505852 is an abundant number, since it is smaller than the sum of its proper divisors (3967524).

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

2505852 is a wasteful number, since it uses less digits than its factorization.

2505852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2505852 is about 1582.9883132860. The cubic root of 2505852 is about 135.8266967873.

The spelling of 2505852 in words is "two million, five hundred five thousand, eight hundred fifty-two".