2424840484242 has 144 divisors (see below), whose sum is σ = 5526574165728. Its totient is φ = 708718032000.

The previous prime is 2424840484237. The next prime is 2424840484271.

2424840484242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2424840484191 and 2424840484200.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 214183942 + ... + 214195262.

It is an arithmetic number, because the mean of its divisors is an integer number (38378987262).

Almost surely, 2^{2424840484242} is an apocalyptic number.

2424840484242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424840484242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763287082864).

2424840484242 is an abundant number, since it is smaller than the sum of its proper divisors (3101733681486).

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

2424840484242 is a wasteful number, since it uses less digits than its factorization.

2424840484242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11717 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

The spelling of 2424840484242 in words is "two trillion, four hundred twenty-four billion, eight hundred forty million, four hundred eighty-four thousand, two hundred forty-two".