2404163005168 has 80 divisors (see below), whose sum is σ = 4974921941760. Its totient is φ = 1123011993600.

The previous prime is 2404163005147. The next prime is 2404163005177. The reversal of 2404163005168 is 8615003614042.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2404163005168.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 146435296 + ... + 146451712.

It is an arithmetic number, because the mean of its divisors is an integer number (62186524272).

Almost surely, 2^{2404163005168} 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 2404163005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487460970880).

2404163005168 is an abundant number, since it is smaller than the sum of its proper divisors (2570758936592).

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

2404163005168 is a wasteful number, since it uses less digits than its factorization.

2404163005168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26666 (or 26660 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 2404163005168 in words is "two trillion, four hundred four billion, one hundred sixty-three million, five thousand, one hundred sixty-eight".