2705314560 has 144 divisors (see below), whose sum is σ = 9304893024. Its totient is φ = 665911296.

The previous prime is 2705314537. The next prime is 2705314589. The reversal of 2705314560 is 654135072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22824 + ... + 77016.

Almost surely, 2^2705314560 is an apocalyptic number.

2705314560 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 2705314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652446512).

2705314560 is an abundant number, since it is smaller than the sum of its proper divisors (6599578464).

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

2705314560 is a wasteful number, since it uses less digits than its factorization.

2705314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54230 (or 54216 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2705314560 is about 52012.6384641272. The cubic root of 2705314560 is about 1393.3896810058.

The spelling of 2705314560 in words is "two billion, seven hundred five million, three hundred fourteen thousand, five hundred sixty".