2251738368 has 324 divisors, whose sum is σ = 7347344004. Its totient is φ = 662323200.

The previous prime is 2251738361. The next prime is 2251738373. The reversal of 2251738368 is 8638371522.

2251738368 is a `hidden beast` number, since 2 + 251 + 7 + 38 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1214383104 + 1037355264 = 34848^2 + 32208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251738361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11430046 + ... + 11430242.

Almost surely, 2^2251738368 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 2251738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673672002).

2251738368 is an abundant number, since it is smaller than the sum of its proper divisors (5095605636).

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

2251738368 is a wasteful number, since it uses less digits than its factorization.

2251738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2251738368 is about 47452.4853722121. The cubic root of 2251738368 is about 1310.7080778595.

The spelling of 2251738368 in words is "two billion, two hundred fifty-one million, seven hundred thirty-eight thousand, three hundred sixty-eight".