2172560 has 40 divisors (see below), whose sum is σ = 5442360. Its totient is φ = 801792.

The previous prime is 2172559. The next prime is 2172563. The reversal of 2172560 is 652712.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 1926544 = 496^2 + 1388^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172563) 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 7 ways as a sum of consecutive naturals, for example, 5 + ... + 2084.

It is an arithmetic number, because the mean of its divisors is an integer number (136059).

2^2172560 is an apocalyptic number.

2172560 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 2172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721180).

2172560 is an abundant number, since it is smaller than the sum of its proper divisors (3269800).

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

2172560 is a wasteful number, since it uses less digits than its factorization.

2172560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2172560 is about 1473.9606507638. The cubic root of 2172560 is about 129.5161501004.

The spelling of 2172560 in words is "two million, one hundred seventy-two thousand, five hundred sixty".