2200364805600 has 864 divisors, whose sum is σ = 8788126523904. Its totient is φ = 533956147200.

The previous prime is 2200364805593. The next prime is 2200364805643. The reversal of 2200364805600 is 65084630022.

2200364805600 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 3 + 6 + 48 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 179425069 + ... + 179437331.

It is an arithmetic number, because the mean of its divisors is an integer number (10171442736).

Almost surely, 2^{2200364805600} is an apocalyptic number.

2200364805600 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 2200364805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394063261952).

2200364805600 is an abundant number, since it is smaller than the sum of its proper divisors (6587761718304).

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

2200364805600 is a wasteful number, since it uses less digits than its factorization.

2200364805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12382 (or 12357 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2200364805600 in words is "two trillion, two hundred billion, three hundred sixty-four million, eight hundred five thousand, six hundred".