2688882496000 has 160 divisors (see below), whose sum is σ = 6831412658928. Its totient is φ = 1055258214400.

The previous prime is 2688882495997. The next prime is 2688882496039. The reversal of 2688882496000 is 6942888862.

It can be written as a sum of positive squares in 8 ways, for example, as 270782855424 + 2418099640576 = 520368^2 + 1555024^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2688882496000.

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, 2995644 + ... + 3788356.

Almost surely, 2^{2688882496000} is an apocalyptic number.

2688882496000 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 2688882496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415706329464).

2688882496000 is an abundant number, since it is smaller than the sum of its proper divisors (4142530162928).

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

2688882496000 is an frugal number, since it uses more digits than its factorization.

2688882496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792799 (or 792773 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 61.

The spelling of 2688882496000 in words is "two trillion, six hundred eighty-eight billion, eight hundred eighty-two million, four hundred ninety-six thousand".