2416168818480 has 160 divisors (see below), whose sum is σ = 7888779014400. Its totient is φ = 610056907776.

The previous prime is 2416168818433. The next prime is 2416168818487. The reversal of 2416168818480 is 848188616142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2416168818480.

It is not an unprimeable number, because it can be changed into a prime (2416168818487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8000466 + ... + 8296974.

It is an arithmetic number, because the mean of its divisors is an integer number (49304868840).

Almost surely, 2^{2416168818480} is an apocalyptic number.

2416168818480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416168818480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944389507200).

2416168818480 is an abundant number, since it is smaller than the sum of its proper divisors (5472610195920).

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

2416168818480 is a wasteful number, since it uses less digits than its factorization.

2416168818480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298331 (or 298325 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 57.

The spelling of 2416168818480 in words is "two trillion, four hundred sixteen billion, one hundred sixty-eight million, eight hundred eighteen thousand, four hundred eighty".