2251444000 has 192 divisors, whose sum is σ = 6166873440. Its totient is φ = 802099200.

The previous prime is 2251443983. The next prime is 2251444001. The reversal of 2251444000 is 4441522.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 76527504 + 2174916496 = 8748^2 + 46636^2 .

It is not an unprimeable number, because it can be changed into a prime (2251444001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507254 + ... + 1508746.

Almost surely, 2^2251444000 is an apocalyptic number.

2251444000 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 2251444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083436720).

2251444000 is an abundant number, since it is smaller than the sum of its proper divisors (3915429440).

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

2251444000 is a wasteful number, since it uses less digits than its factorization.

2251444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2251444000 is about 47449.3835576396. The cubic root of 2251444000 is about 1310.6509594223.

Adding to 2251444000 its reverse (4441522), we get a palindrome (2255885522).

The spelling of 2251444000 in words is "two billion, two hundred fifty-one million, four hundred forty-four thousand".