2252500 has 60 divisors (see below), whose sum is σ = 5313924. Its totient is φ = 832000.

The previous prime is 2252489. The next prime is 2252513. The reversal of 2252500 is 52522.

2252500 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 10 ways, for example, as 1175056 + 1077444 = 1084^2 + 1038^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 42474 + ... + 42526.

2^2252500 is an apocalyptic number.

2252500 is a gapful number since it is divisible by the number (20) 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 2252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656962).

2252500 is an abundant number, since it is smaller than the sum of its proper divisors (3061424).

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

2252500 is a wasteful number, since it uses less digits than its factorization.

2252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2252500 is about 1500.8331019804. The cubic root of 2252500 is about 131.0855839947.

It can be divided in two parts, 225 and 2500, that multiplied together give a square (562500 = 750²).

The spelling of 2252500 in words is "two million, two hundred fifty-two thousand, five hundred".