2705664 has 72 divisors (see below), whose sum is σ = 7783552. Its totient is φ = 829440.

The previous prime is 2705663. The next prime is 2705687. The reversal of 2705664 is 4665072.

It is not an unprimeable number, because it can be changed into a prime (2705663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9849 + ... + 10119.

2^2705664 is an apocalyptic number.

2705664 is a gapful number since it is divisible by the number (24) 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 2705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891776).

2705664 is an abundant number, since it is smaller than the sum of its proper divisors (5077888).

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

2705664 is a wasteful number, since it uses less digits than its factorization.

2705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2705664 is about 1644.8902698964. The cubic root of 2705664 is about 139.3449672197.

The spelling of 2705664 in words is "two million, seven hundred five thousand, six hundred sixty-four".