2251538744 has 64 divisors (see below), whose sum is σ = 5203880640. Its totient is φ = 889344000.

The previous prime is 2251538671. The next prime is 2251538749. The reversal of 2251538744 is 4478351522.

Its product of digits (268800) is a multiple of the sum of its prime factors (4800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251538749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560744 + ... + 564744.

It is an arithmetic number, because the mean of its divisors is an integer number (81310635).

Almost surely, 2^2251538744 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 2251538744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601940320).

2251538744 is an abundant number, since it is smaller than the sum of its proper divisors (2952341896).

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

2251538744 is a wasteful number, since it uses less digits than its factorization.

2251538744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4796 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 2251538744 is about 47450.3819162712. The cubic root of 2251538744 is about 1310.6693438566.

The spelling of 2251538744 in words is "two billion, two hundred fifty-one million, five hundred thirty-eight thousand, seven hundred forty-four".