2681686000 has 320 divisors, whose sum is σ = 7903494144. Its totient is φ = 860544000.

The previous prime is 2681685983. The next prime is 2681686001. The reversal of 2681686000 is 6861862.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681686001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16057917 + ... + 16058083.

Almost surely, 2^2681686000 is an apocalyptic number.

2681686000 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 2681686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951747072).

2681686000 is an abundant number, since it is smaller than the sum of its proper divisors (5221808144).

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

2681686000 is a wasteful number, since it uses less digits than its factorization.

2681686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2681686000 is about 51784.9978275562. The cubic root of 2681686000 is about 1389.3211321913.

The spelling of 2681686000 in words is "two billion, six hundred eighty-one million, six hundred eighty-six thousand".