2688340027000 has 128 divisors (see below), whose sum is σ = 6565682448000. Its totient is φ = 1028353920000.

The previous prime is 2688340026997. The next prime is 2688340027001. The reversal of 2688340027000 is 7200438862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688340027001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133412926 + ... + 133433074.

It is an arithmetic number, because the mean of its divisors is an integer number (51294394125).

Almost surely, 2^{2688340027000} is an apocalyptic number.

2688340027000 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 2688340027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282841224000).

2688340027000 is an abundant number, since it is smaller than the sum of its proper divisors (3877342421000).

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

2688340027000 is a wasteful number, since it uses less digits than its factorization.

2688340027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25994 (or 25980 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 2688340027000 in words is "two trillion, six hundred eighty-eight billion, three hundred forty million, twenty-seven thousand".