2440240000240 has 80 divisors (see below), whose sum is σ = 6493212711360. Its totient is φ = 835473530880.

The previous prime is 2440240000223. The next prime is 2440240000249. The reversal of 2440240000240 is 420000420442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440240000249) 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, 2676001 + ... + 3470080.

It is an arithmetic number, because the mean of its divisors is an integer number (81165158892).

Almost surely, 2^{2440240000240} is an apocalyptic number.

2440240000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440240000240 is an abundant number, since it is smaller than the sum of its proper divisors (4052972711120).

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

2440240000240 is a wasteful number, since it uses less digits than its factorization.

2440240000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146810 (or 6146804 counting only the distinct ones).

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

Adding to 2440240000240 its reverse (420000420442), we get a palindrome (2860240420682).

The spelling of 2440240000240 in words is "two trillion, four hundred forty billion, two hundred forty million, two hundred forty", and thus it is an aban number.