2688109200000 has 2304 divisors, whose sum is σ = 12026942726400. Its totient is φ = 578534400000.

The previous prime is 2688109199959. The next prime is 2688109200071. The reversal of 2688109200000 is 29018862.

It is a super-2 number, since 2×2688109200000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72651599982 + ... + 72651600018.

It is an arithmetic number, because the mean of its divisors is an integer number (5220027225).

Almost surely, 2^{2688109200000} is an apocalyptic number.

2688109200000 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 2688109200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013471363200).

2688109200000 is an abundant number, since it is smaller than the sum of its proper divisors (9338833526400).

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

2688109200000 is an frugal number, since it uses more digits than its factorization.

2688109200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2688109200000 in words is "two trillion, six hundred eighty-eight billion, one hundred nine million, two hundred thousand".