2424644464242 has 192 divisors, whose sum is σ = 6737569719552. Its totient is φ = 565621056000.

The previous prime is 2424644464199. The next prime is 2424644464271.

2424644464242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2424644464191 and 2424644464200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1948492 + ... + 2940392.

It is an arithmetic number, because the mean of its divisors is an integer number (35091508956).

Almost surely, 2^{2424644464242} is an apocalyptic number.

2424644464242 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 2424644464242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368784859776).

2424644464242 is an abundant number, since it is smaller than the sum of its proper divisors (4312925255310).

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

2424644464242 is a wasteful number, since it uses less digits than its factorization.

2424644464242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991985 (or 991974 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 2424644464242 in words is "two trillion, four hundred twenty-four billion, six hundred forty-four million, four hundred sixty-four thousand, two hundred forty-two".