2825160 has 64 divisors (see below), whose sum is σ = 9132480. Its totient is φ = 695040.

The previous prime is 2825153. The next prime is 2825191. The reversal of 2825160 is 615282.

2825160 is digitally balanced in base 2, 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 (24).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 2825160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (142695).

2^2825160 is an apocalyptic number.

2825160 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 2825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566240).

2825160 is an abundant number, since it is smaller than the sum of its proper divisors (6307320).

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

2825160 is a wasteful number, since it uses less digits than its factorization.

2825160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

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

The square root of 2825160 is about 1680.8212278526. The cubic root of 2825160 is about 141.3668831788.

The spelling of 2825160 in words is "two million, eight hundred twenty-five thousand, one hundred sixty".