2230094592000 has 1152 divisors, whose sum is σ = 9096592377600. Its totient is φ = 540463104000.

The previous prime is 2230094591983. The next prime is 2230094592013. The reversal of 2230094592000 is 2954900322.

2230094592000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 684286371 + ... + 684289629.

It is an arithmetic number, because the mean of its divisors is an integer number (7896347550).

Almost surely, 2^{2230094592000} is an apocalyptic number.

2230094592000 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 2230094592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548296188800).

2230094592000 is an abundant number, since it is smaller than the sum of its proper divisors (6866497785600).

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

2230094592000 is an equidigital number, since it uses as much as digits as its factorization.

2230094592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2230094592000 in words is "two trillion, two hundred thirty billion, ninety-four million, five hundred ninety-two thousand".