2250 has 24 divisors (see below), whose sum is σ = 6084. Its totient is φ = 600.

The previous prime is 2243. The next prime is 2251. The reversal of 2250 is 522.

It can be written as a sum of positive squares in 2 ways, for example, as 1521 + 729 = 39^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

2250 is an undulating number in base 7.

It is a nialpdrome in base 5 and base 15.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448 + ... + 452.

2²²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042).

2250 is an abundant number, since it is smaller than the sum of its proper divisors (3834).

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

2250 is a wasteful number, since it uses less digits than its factorization.

2250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2250 is about 47.4341649025. The cubic root of 2250 is about 13.1037069710.

Adding to 2250 its reverse (522), we get a palindrome (2772).

Subtracting from 2250 its reverse (522), we obtain a cube (1728 = 12³).

It can be divided in two parts, 2 and 250, that added together give a palindrome (252).

The spelling of 2250 in words is "two thousand, two hundred fifty".