2688020206680 has 256 divisors, whose sum is σ = 8716211712000. Its totient is φ = 661084319232.

The previous prime is 2688020206639. The next prime is 2688020206681. The reversal of 2688020206680 is 866020208862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688020206681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13758559 + ... + 13952561.

It is an arithmetic number, because the mean of its divisors is an integer number (34047702000).

Almost surely, 2^{2688020206680} is an apocalyptic number.

2688020206680 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 2688020206680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358105856000).

2688020206680 is an abundant number, since it is smaller than the sum of its proper divisors (6028191505320).

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

2688020206680 is a wasteful number, since it uses less digits than its factorization.

2688020206680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194198 (or 194194 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 2688020206680 in words is "two trillion, six hundred eighty-eight billion, twenty million, two hundred six thousand, six hundred eighty".