2250900 has 108 divisors (see below), whose sum is σ = 7345884. Its totient is φ = 576000.

The previous prime is 2250887. The next prime is 2250901. The reversal of 2250900 is 90522.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 1258884 = 996^2 + 1122^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36870 + ... + 36930.

2^2250900 is an apocalyptic number.

2250900 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 2250900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672942).

2250900 is an abundant number, since it is smaller than the sum of its proper divisors (5094984).

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

2250900 is a wasteful number, since it uses less digits than its factorization.

2250900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2250900 is about 1500.2999700060. The cubic root of 2250900 is about 131.0545389907.

The spelling of 2250900 in words is "two million, two hundred fifty thousand, nine hundred".