2852160 has 56 divisors (see below), whose sum is σ = 9058656. Its totient is φ = 760320.

The previous prime is 2852159. The next prime is 2852167. The reversal of 2852160 is 612582.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2852160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526 + ... + 2445.

2^2852160 is an apocalyptic number.

2852160 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 2852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529328).

2852160 is an abundant number, since it is smaller than the sum of its proper divisors (6206496).

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

2852160 is a wasteful number, since it uses less digits than its factorization.

2852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2981 counting only the distinct ones).

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

The square root of 2852160 is about 1688.8339172340. The cubic root of 2852160 is about 141.8158029605.

The spelling of 2852160 in words is "two million, eight hundred fifty-two thousand, one hundred sixty".