2689144294680 has 160 divisors (see below), whose sum is σ = 9431491845600. Its totient is φ = 685926641664.

The previous prime is 2689144294651. The next prime is 2689144294783. The reversal of 2689144294680 is 864924419862.

2689144294680 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 144 + 29 + 468 + 0 = 666.

2689144294680 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 39 ways as a sum of consecutive naturals, for example, 17968585 + ... + 18117624.

It is an arithmetic number, because the mean of its divisors is an integer number (58946824035).

Almost surely, 2^{2689144294680} is an apocalyptic number.

2689144294680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2689144294680 is an abundant number, since it is smaller than the sum of its proper divisors (6742347550920).

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

2689144294680 is a wasteful number, since it uses less digits than its factorization.

2689144294680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36086255 (or 36086242 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2689144294680 in words is "two trillion, six hundred eighty-nine billion, one hundred forty-four million, two hundred ninety-four thousand, six hundred eighty".