2133241110 has 384 divisors, whose sum is σ = 7731569664. Its totient is φ = 408706560.

The previous prime is 2133241087. The next prime is 2133241153. The reversal of 2133241110 is 111423312.

2133241110 is a `hidden beast` number, since 213 + 32 + 411 + 10 = 666.

2133241110 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2133241110³ (a number of 29 digits) contains 333 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2431992 + ... + 2432868.

It is an arithmetic number, because the mean of its divisors is an integer number (20134296).

Almost surely, 2^2133241110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133241110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865784832).

2133241110 is an abundant number, since it is smaller than the sum of its proper divisors (5598328554).

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

2133241110 is a wasteful number, since it uses less digits than its factorization.

2133241110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2133241110 is about 46187.0231775117. The cubic root of 2133241110 is about 1287.3006290716.

Adding to 2133241110 its reverse (111423312), we get a palindrome (2244664422).

The spelling of 2133241110 in words is "two billion, one hundred thirty-three million, two hundred forty-one thousand, one hundred ten".