2164520 has 32 divisors (see below), whose sum is σ = 4966920. Its totient is φ = 848640.

The previous prime is 2164511. The next prime is 2164529. The reversal of 2164520 is 254612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2164511) and next prime (2164529).

It can be written as a sum of positive squares in 4 ways, for example, as 1965604 + 198916 = 1402^2 + 446^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2164492 and 2164501.

It is not an unprimeable number, because it can be changed into a prime (2164529) 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, 1610 + ... + 2630.

2^2164520 is an apocalyptic number.

2164520 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 2164520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483460).

2164520 is an abundant number, since it is smaller than the sum of its proper divisors (2802400).

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

2164520 is a wasteful number, since it uses less digits than its factorization.

2164520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2164520 is about 1471.2307772746. The cubic root of 2164520 is about 129.3561856621.

The spelling of 2164520 in words is "two million, one hundred sixty-four thousand, five hundred twenty".