240969013729584 has 80 divisors (see below), whose sum is σ = 711637767839232. Its totient is φ = 68828408193024.

The previous prime is 240969013729579. The next prime is 240969013729589. The reversal of 240969013729584 is 485927310969042.

240969013729584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240969013729579) and next prime (240969013729589).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (240969013729589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102383889 + ... + 104711024.

It is a 2-persistent number, because it is pandigital, and so is 2⋅240969013729584 = 481938027459168, but 3⋅240969013729584 = 722907041188752 is not.

Almost surely, 2^{240969013729584} is an apocalyptic number.

240969013729584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240969013729584 is an abundant number, since it is smaller than the sum of its proper divisors (470668754109648).

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

240969013729584 is a wasteful number, since it uses less digits than its factorization.

240969013729584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207098394 (or 207098388 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 240969013729584 in words is "two hundred forty trillion, nine hundred sixty-nine billion, thirteen million, seven hundred twenty-nine thousand, five hundred eighty-four".