2682105345760 has 192 divisors, whose sum is σ = 6542930520000. Its totient is φ = 1038493827072.

The previous prime is 2682105345727. The next prime is 2682105345761. The reversal of 2682105345760 is 675435012862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682105345761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466531366 + ... + 466537114.

It is an arithmetic number, because the mean of its divisors is an integer number (34077763125).

Almost surely, 2^{2682105345760} is an apocalyptic number.

2682105345760 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 2682105345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271465260000).

2682105345760 is an abundant number, since it is smaller than the sum of its proper divisors (3860825174240).

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

2682105345760 is a wasteful number, since it uses less digits than its factorization.

2682105345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 2682105345760 in words is "two trillion, six hundred eighty-two billion, one hundred five million, three hundred forty-five thousand, seven hundred sixty".