2706705106560 has 2048 divisors, whose sum is σ = 12506373734400. Its totient is φ = 537620447232.

The previous prime is 2706705106559. The next prime is 2706705106607. The reversal of 2706705106560 is 656015076072.

2706705106560 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 70 + 5 + 10 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2423191122 + ... + 2423192238.

It is an arithmetic number, because the mean of its divisors is an integer number (6106627800).

Almost surely, 2^{2706705106560} is an apocalyptic number.

2706705106560 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 2706705106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253186867200).

2706705106560 is an abundant number, since it is smaller than the sum of its proper divisors (9799668627840).

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

2706705106560 is a wasteful number, since it uses less digits than its factorization.

2706705106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 2706705106560 in words is "two trillion, seven hundred six billion, seven hundred five million, one hundred six thousand, five hundred sixty".