2165920 has 24 divisors (see below), whose sum is σ = 5117364. Its totient is φ = 866304.

The previous prime is 2165903. The next prime is 2165921. The reversal of 2165920 is 295612.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 126736 = 1428^2 + 356^2 .

It is not an unprimeable number, because it can be changed into a prime (2165921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6609 + ... + 6928.

2^2165920 is an apocalyptic number.

2165920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165920 is an abundant number, since it is smaller than the sum of its proper divisors (2951444).

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

2165920 is a wasteful number, since it uses less digits than its factorization.

2165920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13552 (or 13544 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 2165920 is about 1471.7064924774. The cubic root of 2165920 is about 129.3840686153.

The spelling of 2165920 in words is "two million, one hundred sixty-five thousand, nine hundred twenty".