2505732 has 48 divisors (see below), whose sum is σ = 6314112. Its totient is φ = 770560.

The previous prime is 2505707. The next prime is 2505743. The reversal of 2505732 is 2375052.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14398 + ... + 14570.

It is an arithmetic number, because the mean of its divisors is an integer number (131544).

2^2505732 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 2505732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157056).

2505732 is an abundant number, since it is smaller than the sum of its proper divisors (3808380).

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

2505732 is a wasteful number, since it uses less digits than its factorization.

2505732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2505732 is about 1582.9504098360. The cubic root of 2505732 is about 135.8245286007.

The spelling of 2505732 in words is "two million, five hundred five thousand, seven hundred thirty-two".