2705760 has 72 divisors (see below), whose sum is σ = 9238320. Its totient is φ = 721152.

The previous prime is 2705741. The next prime is 2705761. The reversal of 2705760 is 675072.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2705760² = 14642274355200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (128310).

2^2705760 is an apocalyptic number.

2705760 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 2705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619160).

2705760 is an abundant number, since it is smaller than the sum of its proper divisors (6532560).

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

2705760 is a wasteful number, since it uses less digits than its factorization.

2705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2705760 is about 1644.9194509155. The cubic root of 2705760 is about 139.3466152389.

The spelling of 2705760 in words is "two million, seven hundred five thousand, seven hundred sixty".