2424485945568 has 96 divisors (see below), whose sum is σ = 6644350944000. Its totient is φ = 772632498176.

The previous prime is 2424485945543. The next prime is 2424485945597. The reversal of 2424485945568 is 8655495844242.

It is a happy number.

2424485945568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2424485945499 and 2424485945508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4092208 + ... + 4647056.

It is an arithmetic number, because the mean of its divisors is an integer number (69211989000).

Almost surely, 2^{2424485945568} 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 2424485945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322175472000).

2424485945568 is an abundant number, since it is smaller than the sum of its proper divisors (4219864998432).

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

2424485945568 is a wasteful number, since it uses less digits than its factorization.

2424485945568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556864 (or 556856 counting only the distinct ones).

The product of its digits is 442368000, while the sum is 66.

The spelling of 2424485945568 in words is "two trillion, four hundred twenty-four billion, four hundred eighty-five million, nine hundred forty-five thousand, five hundred sixty-eight".