2686685760 has 448 divisors, whose sum is σ = 10497312000. Its totient is φ = 649451520.

The previous prime is 2686685731. The next prime is 2686685779. The reversal of 2686685760 is 675866862.

2686685760 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 68 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2686685697 and 2686685706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698066 + ... + 7698414.

It is an arithmetic number, because the mean of its divisors is an integer number (23431500).

Almost surely, 2^2686685760 is an apocalyptic number.

2686685760 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 2686685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248656000).

2686685760 is an abundant number, since it is smaller than the sum of its proper divisors (7810626240).

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

2686685760 is an equidigital number, since it uses as much as digits as its factorization.

2686685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 2686685760 is about 51833.2495604896. The cubic root of 2686685760 is about 1390.1840171813.

The spelling of 2686685760 in words is "two billion, six hundred eighty-six million, six hundred eighty-five thousand, seven hundred sixty".