2251008 has 54 divisors (see below), whose sum is σ = 6496854. Its totient is φ = 749568.

The previous prime is 2251001. The next prime is 2251031. The reversal of 2251008 is 8001522.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 36864 = 1488^2 + 192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2251001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1816 + ... + 2792.

2^2251008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248427).

2251008 is an abundant number, since it is smaller than the sum of its proper divisors (4245846).

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

2251008 is an equidigital number, since it uses as much as digits as its factorization.

2251008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2251008 is about 1500.3359623764. The cubic root of 2251008 is about 131.0566349914.

The spelling of 2251008 in words is "two million, two hundred fifty-one thousand, eight".