2005760 has 36 divisors (see below), whose sum is σ = 4807488. Its totient is φ = 801792.

The previous prime is 2005747. The next prime is 2005763. The reversal of 2005760 is 675002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2005763) 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, 497 + ... + 2063.

2^2005760 is an apocalyptic number.

2005760 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 2005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403744).

2005760 is an abundant number, since it is smaller than the sum of its proper divisors (2801728).

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

2005760 is an equidigital number, since it uses as much as digits as its factorization.

2005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2005760 is about 1416.2485657539. The cubic root of 2005760 is about 126.1129414814.

The spelling of 2005760 in words is "two million, five thousand, seven hundred sixty".