2251510144 has 64 divisors (see below), whose sum is σ = 4845204000. Its totient is φ = 1035988992.

The previous prime is 2251510139. The next prime is 2251510147. The reversal of 2251510144 is 4410151522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251510147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595492 + ... + 599260.

Almost surely, 2^2251510144 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 2251510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422602000).

2251510144 is an abundant number, since it is smaller than the sum of its proper divisors (2593693856).

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

2251510144 is a wasteful number, since it uses less digits than its factorization.

2251510144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 2251510144 is about 47450.0805478768. The cubic root of 2251510144 is about 1310.6637942738.

Adding to 2251510144 its reverse (4410151522), we get a palindrome (6661661666).

The spelling of 2251510144 in words is "two billion, two hundred fifty-one million, five hundred ten thousand, one hundred forty-four".