2230511004000 has 576 divisors, whose sum is σ = 8348774353920. Its totient is φ = 562412160000.

The previous prime is 2230511003911. The next prime is 2230511004017. The reversal of 2230511004000 is 4001150322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390561145 + ... + 390566855.

It is an arithmetic number, because the mean of its divisors is an integer number (14494399920).

Almost surely, 2^{2230511004000} is an apocalyptic number.

2230511004000 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 2230511004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174387176960).

2230511004000 is an abundant number, since it is smaller than the sum of its proper divisors (6118263349920).

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

2230511004000 is a wasteful number, since it uses less digits than its factorization.

2230511004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2230511004000 its reverse (4001150322), we get a palindrome (2234512154322).

The spelling of 2230511004000 in words is "two trillion, two hundred thirty billion, five hundred eleven million, four thousand".