2686320000 has 960 divisors, whose sum is σ = 12178726560. Its totient is φ = 552960000.

The previous prime is 2686319971. The next prime is 2686320001. The reversal of 2686320000 is 236862.

2686320000 is a `hidden beast` number, since 26 + 8 + 632 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686320001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65519980 + ... + 65520020.

Almost surely, 2^2686320000 is an apocalyptic number.

2686320000 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 2686320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089363280).

2686320000 is an abundant number, since it is smaller than the sum of its proper divisors (9492406560).

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

2686320000 is a wasteful number, since it uses less digits than its factorization.

2686320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2686320000 is about 51829.7212031861. The cubic root of 2686320000 is about 1390.1209286989.

Adding to 2686320000 its reverse (236862), we get a palindrome (2686556862).

The spelling of 2686320000 in words is "two billion, six hundred eighty-six million, three hundred twenty thousand".