2805760 has 52 divisors (see below), whose sum is σ = 6782148. Its totient is φ = 1114112.

The previous prime is 2805757. The next prime is 2805763. The reversal of 2805760 is 675082.

It is an interprime number because it is at equal distance from previous prime (2805757) and next prime (2805763).

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 1478656 = 1152^2 + 1216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20412 + ... + 20548.

2^2805760 is an apocalyptic number.

2805760 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 2805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391074).

2805760 is an abundant number, since it is smaller than the sum of its proper divisors (3976388).

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

2805760 is an equidigital number, since it uses as much as digits as its factorization.

2805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2805760 is about 1675.0402980227. The cubic root of 2805760 is about 141.0425571119.

The spelling of 2805760 in words is "two million, eight hundred five thousand, seven hundred sixty".