2230504563600 has 360 divisors, whose sum is σ = 8276961604392. Its totient is φ = 554268672000.

The previous prime is 2230504563587. The next prime is 2230504563611. The reversal of 2230504563600 is 63654050322.

2230504563600 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 5 + 0 + 45 + 6 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 91387708416 + 2139116855184 = 302304^2 + 1462572^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 6000774 + ... + 6361626.

Almost surely, 2^{2230504563600} is an apocalyptic number.

2230504563600 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 2230504563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138480802196).

2230504563600 is an abundant number, since it is smaller than the sum of its proper divisors (6046457040792).

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

2230504563600 is a wasteful number, since it uses less digits than its factorization.

2230504563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360995 (or 360981 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2230504563600 in words is "two trillion, two hundred thirty billion, five hundred four million, five hundred sixty-three thousand, six hundred".