2581760 has 36 divisors (see below), whose sum is σ = 6187188. Its totient is φ = 1032192.

The previous prime is 2581741. The next prime is 2581769. The reversal of 2581760 is 671852.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 984064 = 1264^2 + 992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581769) 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, 272 + ... + 2288.

2^2581760 is an apocalyptic number.

2581760 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 2581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093594).

2581760 is an abundant number, since it is smaller than the sum of its proper divisors (3605428).

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

2581760 is an equidigital number, since it uses as much as digits as its factorization.

2581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 2581760 is about 1606.7856110882. The cubic root of 2581760 is about 137.1845772542.

The spelling of 2581760 in words is "two million, five hundred eighty-one thousand, seven hundred sixty".