2233012320 has 768 divisors, whose sum is σ = 10015488000. Its totient is φ = 460615680.

The previous prime is 2233012307. The next prime is 2233012321. The reversal of 2233012320 is 232103322.

It is a happy number.

2233012320 is a `hidden beast` number, since 2 + 2 + 330 + 12 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2233012293 and 2233012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233012321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16299292 + ... + 16299428.

It is an arithmetic number, because the mean of its divisors is an integer number (13041000).

Almost surely, 2^2233012320 is an apocalyptic number.

2233012320 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 2233012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744000).

2233012320 is an abundant number, since it is smaller than the sum of its proper divisors (7782475680).

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

2233012320 is a wasteful number, since it uses less digits than its factorization.

2233012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2233012320 is about 47254.7597602612. The cubic root of 2233012320 is about 1307.0645613640.

Adding to 2233012320 its reverse (232103322), we get a palindrome (2465115642).

The spelling of 2233012320 in words is "two billion, two hundred thirty-three million, twelve thousand, three hundred twenty".