2705871168 has 756 divisors, whose sum is σ = 11050816608. Its totient is φ = 614615040.

The previous prime is 2705871167. The next prime is 2705871193. The reversal of 2705871168 is 8611785072.

It is a happy number.

2705871168 is a `hidden beast` number, since 2 + 7 + 0 + 587 + 1 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705871167) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 142414263 + ... + 142414281.

Almost surely, 2^2705871168 is an apocalyptic number.

2705871168 is a gapful number since it is divisible by the number (28) 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 2705871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525408304).

2705871168 is an abundant number, since it is smaller than the sum of its proper divisors (8344945440).

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

2705871168 is a wasteful number, since it uses less digits than its factorization.

2705871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 2705871168 is about 52017.9888884605. The cubic root of 2705871168 is about 1393.4852359641.

The spelling of 2705871168 in words is "two billion, seven hundred five million, eight hundred seventy-one thousand, one hundred sixty-eight".