2643160 has 96 divisors (see below), whose sum is σ = 7115040. Its totient is φ = 878592.

The previous prime is 2643133. The next prime is 2643161. The reversal of 2643160 is 613462.

It is a d-powerful number, because it can be written as 2³ + 6² + 4¹⁰ + 3¹³ + 1 + 6³ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114909 + ... + 114931.

It is an arithmetic number, because the mean of its divisors is an integer number (74115).

2^2643160 is an apocalyptic number.

2643160 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 2643160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557520).

2643160 is an abundant number, since it is smaller than the sum of its proper divisors (4471880).

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

2643160 is a wasteful number, since it uses less digits than its factorization.

2643160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2643160 is about 1625.7798128898. The cubic root of 2643160 is about 138.2635863944.

The spelling of 2643160 in words is "two million, six hundred forty-three thousand, one hundred sixty".