2442424022016 has 264 divisors, whose sum is σ = 7161865298112. Its totient is φ = 739477094400.

The previous prime is 2442424021967. The next prime is 2442424022033. The reversal of 2442424022016 is 6102204242442.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 577266621 + ... + 577270851.

Almost surely, 2^{2442424022016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442424022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580932649056).

2442424022016 is an abundant number, since it is smaller than the sum of its proper divisors (4719441276096).

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

2442424022016 is a wasteful number, since it uses less digits than its factorization.

2442424022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2442424022016 its reverse (6102204242442), we get a palindrome (8544628264458).

The spelling of 2442424022016 in words is "two trillion, four hundred forty-two billion, four hundred twenty-four million, twenty-two thousand, sixteen".