2686945608000 has 1120 divisors, whose sum is σ = 10602086695200. Its totient is φ = 669435494400.

The previous prime is 2686945607981. The next prime is 2686945608007. The reversal of 2686945608000 is 8065496862.

It is a happy number.

2686945608000 is a `hidden beast` number, since 26 + 8 + 6 + 9 + 4 + 5 + 608 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2583966230784 + 102979377216 = 1607472^2 + 320904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686945608007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1641383182 + ... + 1641384818.

It is an arithmetic number, because the mean of its divisors is an integer number (9466148835).

Almost surely, 2^{2686945608000} is an apocalyptic number.

2686945608000 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 2686945608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301043347600).

2686945608000 is an abundant number, since it is smaller than the sum of its proper divisors (7915141087200).

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

2686945608000 is a wasteful number, since it uses less digits than its factorization.

2686945608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2686945608000 in words is "two trillion, six hundred eighty-six billion, nine hundred forty-five million, six hundred eight thousand".