2230314633120 has 768 divisors, whose sum is σ = 8508796305408. Its totient is φ = 480066048000.

The previous prime is 2230314633119. The next prime is 2230314633139. The reversal of 2230314633120 is 213364130322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2969792745 + ... + 2969793495.

It is an arithmetic number, because the mean of its divisors is an integer number (11079161856).

Almost surely, 2^{2230314633120} is an apocalyptic number.

2230314633120 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 2230314633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254398152704).

2230314633120 is an abundant number, since it is smaller than the sum of its proper divisors (6278481672288).

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

2230314633120 is a wasteful number, since it uses less digits than its factorization.

2230314633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 2230314633120 its reverse (213364130322), we get a palindrome (2443678763442).

The spelling of 2230314633120 in words is "two trillion, two hundred thirty billion, three hundred fourteen million, six hundred thirty-three thousand, one hundred twenty".