2688042162624 has 896 divisors, whose sum is σ = 9840368025600. Its totient is φ = 627474677760.

The previous prime is 2688042162601. The next prime is 2688042162679. The reversal of 2688042162624 is 4262612408862.

2688042162624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 298434729 + ... + 298443735.

It is an arithmetic number, because the mean of its divisors is an integer number (10982553600).

Almost surely, 2^{2688042162624} is an apocalyptic number.

2688042162624 is a gapful number since it is divisible by the number (24) 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 2688042162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920184012800).

2688042162624 is an abundant number, since it is smaller than the sum of its proper divisors (7152325862976).

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

2688042162624 is a wasteful number, since it uses less digits than its factorization.

2688042162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 2688042162624 in words is "two trillion, six hundred eighty-eight billion, forty-two million, one hundred sixty-two thousand, six hundred twenty-four".