2688378480320 has 112 divisors (see below), whose sum is σ = 6898946100480. Its totient is φ = 991940038656.

The previous prime is 2688378480299. The next prime is 2688378480323. The reversal of 2688378480320 is 230848738862.

It is a happy number.

2688378480320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2688378480320.

It is not an unprimeable number, because it can be changed into a prime (2688378480323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761694 + ... + 6210786.

It is an arithmetic number, because the mean of its divisors is an integer number (61597733040).

Almost surely, 2^{2688378480320} is an apocalyptic number.

2688378480320 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 2688378480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449473050240).

2688378480320 is an abundant number, since it is smaller than the sum of its proper divisors (4210567620160).

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

2688378480320 is a wasteful number, since it uses less digits than its factorization.

2688378480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450562 (or 450552 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 59.

The spelling of 2688378480320 in words is "two trillion, six hundred eighty-eight billion, three hundred seventy-eight million, four hundred eighty thousand, three hundred twenty".