2232231324240 has 320 divisors, whose sum is σ = 7070484960000. Its totient is φ = 582488064000.

The previous prime is 2232231324227. The next prime is 2232231324241. The reversal of 2232231324240 is 424231322322.

2232231324240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232231324240³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2232231324198 and 2232231324207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232231324241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812014386 + ... + 812017134.

It is an arithmetic number, because the mean of its divisors is an integer number (22095265500).

Almost surely, 2^{2232231324240} is an apocalyptic number.

2232231324240 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 2232231324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535242480000).

2232231324240 is an abundant number, since it is smaller than the sum of its proper divisors (4838253635760).

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

2232231324240 is a wasteful number, since it uses less digits than its factorization.

2232231324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2232231324240 its reverse (424231322322), we get a palindrome (2656462646562).

The spelling of 2232231324240 in words is "two trillion, two hundred thirty-two billion, two hundred thirty-one million, three hundred twenty-four thousand, two hundred forty".