2686006656 has 320 divisors, whose sum is σ = 8447852160. Its totient is φ = 846028800.

The previous prime is 2686006627. The next prime is 2686006657. The reversal of 2686006656 is 6566006862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686006657) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19605820 + ... + 19605956.

It is an arithmetic number, because the mean of its divisors is an integer number (26399538).

Almost surely, 2^2686006656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223926080).

2686006656 is an abundant number, since it is smaller than the sum of its proper divisors (5761845504).

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

2686006656 is a wasteful number, since it uses less digits than its factorization.

2686006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2686006656 is about 51826.6982934472. The cubic root of 2686006656 is about 1390.0668766885.

The spelling of 2686006656 in words is "two billion, six hundred eighty-six million, six thousand, six hundred fifty-six".