2705164560 has 480 divisors, whose sum is σ = 11043043200. Its totient is φ = 606735360.

The previous prime is 2705164519. The next prime is 2705164589. The reversal of 2705164560 is 654615072.

It is a happy number.

2705164560 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 1 + 645 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6456031 + ... + 6456449.

It is an arithmetic number, because the mean of its divisors is an integer number (23006340).

Almost surely, 2^2705164560 is an apocalyptic number.

2705164560 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 2705164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521521600).

2705164560 is an abundant number, since it is smaller than the sum of its proper divisors (8337878640).

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

2705164560 is a wasteful number, since it uses less digits than its factorization.

2705164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2705164560 is about 52011.1964869104. The cubic root of 2705164560 is about 1393.3639277080.

The spelling of 2705164560 in words is "two billion, seven hundred five million, one hundred sixty-four thousand, five hundred sixty".