2705920 has 80 divisors (see below), whose sum is σ = 7463808. Its totient is φ = 921600.

The previous prime is 2705909. The next prime is 2705933. The reversal of 2705920 is 295072.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17845 + ... + 17995.

2^2705920 is an apocalyptic number.

2705920 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 2705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731904).

2705920 is an abundant number, since it is smaller than the sum of its proper divisors (4757888).

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

2705920 is an equidigital number, since it uses as much as digits as its factorization.

2705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2705920 is about 1644.9680847968. The cubic root of 2705920 is about 139.3493618509.

The spelling of 2705920 in words is "two million, seven hundred five thousand, nine hundred twenty".