2165610 has 32 divisors (see below), whose sum is σ = 5340672. Its totient is φ = 561600.

The previous prime is 2165599. The next prime is 2165617. The reversal of 2165610 is 165612.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2165617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (166896).

2^2165610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670336).

2165610 is an abundant number, since it is smaller than the sum of its proper divisors (3175062).

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

2165610 is a wasteful number, since it uses less digits than its factorization.

2165610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2165610 is about 1471.6011687954. The cubic root of 2165610 is about 129.3778955687.

It can be divided in two parts, 2165 and 610, that added together give a triangular number (2775 = T₇₄).

The spelling of 2165610 in words is "two million, one hundred sixty-five thousand, six hundred ten".