2233211330304 has 144 divisors (see below), whose sum is σ = 6644517465600. Its totient is φ = 739836509184.

The previous prime is 2233211330281. The next prime is 2233211330309. The reversal of 2233211330304 is 4030331123322.

2233211330304 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 21 + 1 + 330 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2233211330304² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233211330309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135577 + ... + 2117735.

It is an arithmetic number, because the mean of its divisors is an integer number (46142482400).

Almost surely, 2^{2233211330304} is an apocalyptic number.

2233211330304 is a gapful number since it is divisible by the number (24) 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 2233211330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322258732800).

2233211330304 is an abundant number, since it is smaller than the sum of its proper divisors (4411306135296).

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

2233211330304 is a wasteful number, since it uses less digits than its factorization.

2233211330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982347 (or 1982327 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2233211330304 its reverse (4030331123322), we get a palindrome (6263542453626).

The spelling of 2233211330304 in words is "two trillion, two hundred thirty-three billion, two hundred eleven million, three hundred thirty thousand, three hundred four".