240224020240 has 40 divisors (see below), whose sum is σ = 591375017880. Its totient is φ = 90437277696.

The previous prime is 240224020213. The next prime is 240224020243. The reversal of 240224020240 is 42020422042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107311277056 + 132912743184 = 327584^2 + 364572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (240224020243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88316295 + ... + 88319014.

It is an arithmetic number, because the mean of its divisors is an integer number (14784375447).

Almost surely, 2^240224020240 is an apocalyptic number.

240224020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240224020240 is an abundant number, since it is smaller than the sum of its proper divisors (351150997640).

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

240224020240 is a wasteful number, since it uses less digits than its factorization.

240224020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176635339 (or 176635333 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 240224020240 its reverse (42020422042), we get a palindrome (282244442282).

The spelling of 240224020240 in words is "two hundred forty billion, two hundred twenty-four million, twenty thousand, two hundred forty".