233012240340 has 192 divisors, whose sum is σ = 729893928960. Its totient is φ = 55065472000.

The previous prime is 233012240317. The next prime is 233012240423. The reversal of 233012240340 is 43042210332.

233012240340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233012240340.

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 63 ways as a sum of consecutive naturals, for example, 4142605 + ... + 4198475.

It is an arithmetic number, because the mean of its divisors is an integer number (3801530880).

Almost surely, 2^233012240340 is an apocalyptic number.

233012240340 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 233012240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364946964480).

233012240340 is an abundant number, since it is smaller than the sum of its proper divisors (496881688620).

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

233012240340 is a wasteful number, since it uses less digits than its factorization.

233012240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56054 (or 56052 counting only the distinct ones).

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

Adding to 233012240340 its reverse (43042210332), we get a palindrome (276054450672).

The spelling of 233012240340 in words is "two hundred thirty-three billion, twelve million, two hundred forty thousand, three hundred forty".