2165240 has 128 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 622080.

The previous prime is 2165237. The next prime is 2165249. The reversal of 2165240 is 425612.

It is a happy number.

2165240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58502 + ... + 58538.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2^2165240 is an apocalyptic number.

2165240 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 2165240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2165240 is an abundant number, since it is smaller than the sum of its proper divisors (4401160).

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

2165240 is a wasteful number, since it uses less digits than its factorization.

2165240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

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

The square root of 2165240 is about 1471.4754500161. The cubic root of 2165240 is about 129.3705269677.

The spelling of 2165240 in words is "two million, one hundred sixty-five thousand, two hundred forty".