2505188 has 48 divisors (see below), whose sum is σ = 5604480. Its totient is φ = 953856.

The previous prime is 2505187. The next prime is 2505193. The reversal of 2505188 is 8815052.

2505188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2505188.

It is not an unprimeable number, because it can be changed into a prime (2505187) 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, 8906 + ... + 9182.

It is an arithmetic number, because the mean of its divisors is an integer number (116760).

2^2505188 is an apocalyptic number.

2505188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802240).

2505188 is an abundant number, since it is smaller than the sum of its proper divisors (3099292).

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

2505188 is a wasteful number, since it uses less digits than its factorization.

2505188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 2505188 is about 1582.7785694784. The cubic root of 2505188 is about 135.8146986200.

The spelling of 2505188 in words is "two million, five hundred five thousand, one hundred eighty-eight".