2684160 has 108 divisors (see below), whose sum is σ = 9326772. Its totient is φ = 712704.

The previous prime is 2684141. The next prime is 2684161. The reversal of 2684160 is 614862.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 1937664 = 864^2 + 1392^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11404 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (86359).

2^2684160 is an apocalyptic number.

2684160 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 2684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663386).

2684160 is an abundant number, since it is smaller than the sum of its proper divisors (6642612).

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

2684160 is a wasteful number, since it uses less digits than its factorization.

2684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2684160 is about 1638.3406239241. The cubic root of 2684160 is about 138.9748242105.

The spelling of 2684160 in words is "two million, six hundred eighty-four thousand, one hundred sixty".