240533343033240 has 256 divisors, whose sum is σ = 732276360990720. Its totient is φ = 63200281167360.

The previous prime is 240533343033211. The next prime is 240533343033271. The reversal of 240533343033240 is 42330343335042.

It is a super-2 number, since 2×240533343033240² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2002865595 + ... + 2002985685.

It is an arithmetic number, because the mean of its divisors is an integer number (2860454535120).

Almost surely, 2^{240533343033240} is an apocalyptic number.

240533343033240 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 240533343033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366138180495360).

240533343033240 is an abundant number, since it is smaller than the sum of its proper divisors (491743017957480).

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

240533343033240 is a wasteful number, since it uses less digits than its factorization.

240533343033240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121022 (or 121018 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 39.

Adding to 240533343033240 its reverse (42330343335042), we get a palindrome (282863686368282).

The spelling of 240533343033240 in words is "two hundred forty trillion, five hundred thirty-three billion, three hundred forty-three million, thirty-three thousand, two hundred forty".