233040213240 has 128 divisors (see below), whose sum is σ = 717349953600. Its totient is φ = 60528660480.

The previous prime is 233040213227. The next prime is 233040213269. The reversal of 233040213240 is 42312040332.

233040213240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233040213240.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2977326 + ... + 3054594.

Almost surely, 2^233040213240 is an apocalyptic number.

233040213240 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 233040213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358674976800).

233040213240 is an abundant number, since it is smaller than the sum of its proper divisors (484309740360).

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

233040213240 is a wasteful number, since it uses less digits than its factorization.

233040213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77937 (or 77933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233040213240 its reverse (42312040332), we get a palindrome (275352253572).

The spelling of 233040213240 in words is "two hundred thirty-three billion, forty million, two hundred thirteen thousand, two hundred forty".