2251287360 has 672 divisors, whose sum is σ = 9414662400. Its totient is φ = 493129728.

The previous prime is 2251287343. The next prime is 2251287397. The reversal of 2251287360 is 637821522.

2251287360 is a `hidden beast` number, since 2 + 2 + 512 + 87 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 42477094 + ... + 42477146.

Almost surely, 2^2251287360 is an apocalyptic number.

2251287360 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 2251287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707331200).

2251287360 is an abundant number, since it is smaller than the sum of its proper divisors (7163375040).

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

2251287360 is a wasteful number, since it uses less digits than its factorization.

2251287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2251287360 is about 47447.7329279282. The cubic root of 2251287360 is about 1310.6205633554.

The spelling of 2251287360 in words is "two billion, two hundred fifty-one million, two hundred eighty-seven thousand, three hundred sixty".