2320225689600 has 3360 divisors, whose sum is σ = 11149965731520. Its totient is φ = 463743221760.

The previous prime is 2320225689541. The next prime is 2320225689611. The reversal of 2320225689600 is 69865220232.

2320225689600 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 22 + 568 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43777843174 + ... + 43777843226.

It is an arithmetic number, because the mean of its divisors is an integer number (3318442182).

Almost surely, 2^{2320225689600} is an apocalyptic number.

2320225689600 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 2320225689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574982865760).

2320225689600 is an abundant number, since it is smaller than the sum of its proper divisors (8829740041920).

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

2320225689600 is a wasteful number, since it uses less digits than its factorization.

2320225689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2320225689600 in words is "two trillion, three hundred twenty billion, two hundred twenty-five million, six hundred eighty-nine thousand, six hundred".