2251791360 has 704 divisors, whose sum is σ = 9904204800. Its totient is φ = 472449024.

The previous prime is 2251791359. The next prime is 2251791383. The reversal of 2251791360 is 631971522.

2251791360 is a `hidden beast` number, since 2 + 2 + 517 + 9 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579751 + ... + 12579929.

Almost surely, 2^2251791360 is an apocalyptic number.

2251791360 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 2251791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952102400).

2251791360 is an abundant number, since it is smaller than the sum of its proper divisors (7652413440).

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

2251791360 is a wasteful number, since it uses less digits than its factorization.

2251791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2251791360 is about 47453.0437379943. The cubic root of 2251791360 is about 1310.7183597671.

The spelling of 2251791360 in words is "two billion, two hundred fifty-one million, seven hundred ninety-one thousand, three hundred sixty".