240424202424006 has 160 divisors (see below), whose sum is σ = 549698823273600. Its totient is φ = 78525925632000.

The previous prime is 240424202423963. The next prime is 240424202424059. The reversal of 240424202424006 is 600424202424042.

240424202424006 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 2 + 4 + 2 + 0 + 242 + 400 + 6 = 666.

It is a super-2 number, since 2×240424202424006² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13850109555 + ... + 13850126913.

It is an arithmetic number, because the mean of its divisors is an integer number (3435617645460).

Almost surely, 2^{240424202424006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240424202424006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274849411636800).

240424202424006 is an abundant number, since it is smaller than the sum of its proper divisors (309274620849594).

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

240424202424006 is a wasteful number, since it uses less digits than its factorization.

240424202424006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26076 (or 26067 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 240424202424006 its sum of digits (36), we get a palindrome (240424202424042).

Adding to 240424202424006 its reverse (600424202424042), we get a palindrome (840848404848048).

The spelling of 240424202424006 in words is "two hundred forty trillion, four hundred twenty-four billion, two hundred two million, four hundred twenty-four thousand, six".