2230442064000 has 768 divisors, whose sum is σ = 8405039185920. Its totient is φ = 566092800000.

The previous prime is 2230442063989. The next prime is 2230442064041. The reversal of 2230442064000 is 4602440322.

2230442064000 is a `hidden beast` number, since 2 + 230 + 4 + 4 + 20 + 6 + 400 + 0 = 666.

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, 272299905 + ... + 272308095.

It is an arithmetic number, because the mean of its divisors is an integer number (10944061440).

Almost surely, 2^{2230442064000} is an apocalyptic number.

2230442064000 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 2230442064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202519592960).

2230442064000 is an abundant number, since it is smaller than the sum of its proper divisors (6174597121920).

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

2230442064000 is a wasteful number, since it uses less digits than its factorization.

2230442064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 2230442064000 in words is "two trillion, two hundred thirty billion, four hundred forty-two million, sixty-four thousand".