2165280 has 96 divisors (see below), whose sum is σ = 7366464. Its totient is φ = 531456.

The previous prime is 2165249. The next prime is 2165291. The reversal of 2165280 is 825612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2165280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6067 + ... + 6413.

It is an arithmetic number, because the mean of its divisors is an integer number (76734).

2^2165280 is an apocalyptic number.

2165280 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 2165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683232).

2165280 is an abundant number, since it is smaller than the sum of its proper divisors (5201184).

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

2165280 is a wasteful number, since it uses less digits than its factorization.

2165280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2165280 is about 1471.4890417533. The cubic root of 2165280 is about 129.3713236137.

The spelling of 2165280 in words is "two million, one hundred sixty-five thousand, two hundred eighty".