2716160 has 40 divisors (see below), whose sum is σ = 6518556. Its totient is φ = 1085440.

The previous prime is 2716159. The next prime is 2716163. The reversal of 2716160 is 616172.

It can be written as a sum of positive squares in 2 ways, for example, as 2715904 + 256 = 1648^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2716163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2030 + ... + 3090.

2^2716160 is an apocalyptic number.

2716160 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 2716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259278).

2716160 is an abundant number, since it is smaller than the sum of its proper divisors (3802396).

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

2716160 is an equidigital number, since it uses as much as digits as its factorization.

2716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2716160 is about 1648.0776680727. The cubic root of 2716160 is about 139.5249202877.

The spelling of 2716160 in words is "two million, seven hundred sixteen thousand, one hundred sixty".