2251456 has 28 divisors (see below), whose sum is σ = 4519168. Its totient is φ = 1112832.

The previous prime is 2251451. The next prime is 2251471. The reversal of 2251456 is 6541522.

2251456 = 65² + 66² + ... + 191².

2251456 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 2251456.

It is not an unprimeable number, because it can be changed into a prime (2251451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7990 + ... + 8266.

2^2251456 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 2251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259584).

2251456 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2251456 is a wasteful number, since it uses less digits than its factorization.

2251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 2251456 is about 1500.4852548426. The cubic root of 2251456 is about 131.0653287970.

Adding to 2251456 its reverse (6541522), we get a palindrome (8792978).

It can be divided in two parts, 225 and 1456, that added together give a square (1681 = 41²).

The spelling of 2251456 in words is "two million, two hundred fifty-one thousand, four hundred fifty-six".