2250144 has 72 divisors (see below), whose sum is σ = 6902532. Its totient is φ = 691200.

The previous prime is 2250119. The next prime is 2250163. The reversal of 2250144 is 4410522.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 144 = 1500^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444 + ... + 4044.

2^2250144 is an apocalyptic number.

2250144 is a gapful number since it is divisible by the number (24) 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 2250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451266).

2250144 is an abundant number, since it is smaller than the sum of its proper divisors (4652388).

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

2250144 is a wasteful number, since it uses less digits than its factorization.

2250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2250144 is about 1500.0479992320. The cubic root of 2250144 is about 131.0398651083.

Adding to 2250144 its reverse (4410522), we get a palindrome (6660666).

The spelling of 2250144 in words is "two million, two hundred fifty thousand, one hundred forty-four".