2245995360 has 432 divisors, whose sum is σ = 9019155600. Its totient is φ = 507451392.

The previous prime is 2245995331. The next prime is 2245995383. The reversal of 2245995360 is 635995422.

2245995360 is a `hidden beast` number, since 2 + 2 + 4 + 599 + 53 + 6 + 0 = 666.

2245995360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9807726 + ... + 9807954.

It is an arithmetic number, because the mean of its divisors is an integer number (20877675).

Almost surely, 2^2245995360 is an apocalyptic number.

2245995360 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 2245995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509577800).

2245995360 is an abundant number, since it is smaller than the sum of its proper divisors (6773160240).

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

2245995360 is a wasteful number, since it uses less digits than its factorization.

2245995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2245995360 is about 47391.9334908379. The cubic root of 2245995360 is about 1309.5928186949.

The spelling of 2245995360 in words is "two billion, two hundred forty-five million, nine hundred ninety-five thousand, three hundred sixty".