2165760 has 132 divisors (see below), whose sum is σ = 7663968. Its totient is φ = 565248.

The previous prime is 2165747. The next prime is 2165771. The reversal of 2165760 is 675612.

2165760 is a `hidden beast` number, since 2 + 1 + 657 + 6 + 0 = 666.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46057 + ... + 46103.

2^2165760 is an apocalyptic number.

2165760 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 2165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831984).

2165760 is an abundant number, since it is smaller than the sum of its proper divisors (5498208).

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

2165760 is a wasteful number, since it uses less digits than its factorization.

2165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2165760 is about 1471.6521328086. The cubic root of 2165760 is about 129.3808826003.

The spelling of 2165760 in words is "two million, one hundred sixty-five thousand, seven hundred sixty".