2682880 has 52 divisors (see below), whose sum is σ = 6487272. Its totient is φ = 1064960.

The previous prime is 2682859. The next prime is 2682887. The reversal of 2682880 is 882862.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682887) 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, 20415 + ... + 20545.

2^2682880 is an apocalyptic number.

2682880 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 2682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243636).

2682880 is an abundant number, since it is smaller than the sum of its proper divisors (3804392).

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

2682880 is an equidigital number, since it uses as much as digits as its factorization.

2682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2682880 is about 1637.9499381849. The cubic root of 2682880 is about 138.9527296435.

The spelling of 2682880 in words is "two million, six hundred eighty-two thousand, eight hundred eighty".