240022000240 has 80 divisors (see below), whose sum is σ = 608973273216. Its totient is φ = 87253459200.

The previous prime is 240022000201. The next prime is 240022000241. The reversal of 240022000240 is 42000220042.

240022000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×240022000240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240022000241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2890339 + ... + 2972221.

Almost surely, 2^240022000240 is an apocalyptic number.

240022000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240022000240 is an abundant number, since it is smaller than the sum of its proper divisors (368951272976).

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

240022000240 is a wasteful number, since it uses less digits than its factorization.

240022000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85238 (or 85232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 240022000240 its reverse (42000220042), we get a palindrome (282022220282).

It can be divided in two parts, 2400220002 and 40, that added together give a palindrome (2400220042).

The spelling of 240022000240 in words is "two hundred forty billion, twenty-two million, two hundred forty", and thus it is an aban number.