2424124420240 has 40 divisors (see below), whose sum is σ = 5640089602680. Its totient is φ = 968961540096.

The previous prime is 2424124420213. The next prime is 2424124420243. The reversal of 2424124420240 is 420244214242.

It can be written as a sum of positive squares in 4 ways, for example, as 282479494144 + 2141644926096 = 531488^2 + 1463436^2 .

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

It is a super-2 number, since 2×2424124420240² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2424124420243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10640139 + ... + 10865578.

It is an arithmetic number, because the mean of its divisors is an integer number (141002240067).

Almost surely, 2^{2424124420240} is an apocalyptic number.

2424124420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424124420240 is an abundant number, since it is smaller than the sum of its proper divisors (3215965182440).

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

2424124420240 is a wasteful number, since it uses less digits than its factorization.

2424124420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21507139 (or 21507133 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 2424124420240 its reverse (420244214242), we get a palindrome (2844368634482).

The spelling of 2424124420240 in words is "two trillion, four hundred twenty-four billion, one hundred twenty-four million, four hundred twenty thousand, two hundred forty".