2250387360 has 720 divisors, whose sum is σ = 9270726696. Its totient is φ = 510603264.

The previous prime is 2250387319. The next prime is 2250387389. The reversal of 2250387360 is 637830522.

2250387360 is a `hidden beast` number, since 22 + 503 + 8 + 73 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1856920464 + 393466896 = 43092^2 + 19836^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 60821262 + ... + 60821298.

Almost surely, 2^2250387360 is an apocalyptic number.

2250387360 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 2250387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635363348).

2250387360 is an abundant number, since it is smaller than the sum of its proper divisors (7020339336).

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

2250387360 is a wasteful number, since it uses less digits than its factorization.

2250387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2250387360 is about 47438.2478597176. The cubic root of 2250387360 is about 1310.4458905959.

The spelling of 2250387360 in words is "two billion, two hundred fifty million, three hundred eighty-seven thousand, three hundred sixty".