2822160 has 80 divisors (see below), whose sum is σ = 9552960. Its totient is φ = 683520.

The previous prime is 2822159. The next prime is 2822189. The reversal of 2822160 is 612282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106 + ... + 3174.

It is an arithmetic number, because the mean of its divisors is an integer number (119412).

2^2822160 is an apocalyptic number.

2822160 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 2822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776480).

2822160 is an abundant number, since it is smaller than the sum of its proper divisors (6730800).

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

2822160 is a wasteful number, since it uses less digits than its factorization.

2822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2822160 is about 1679.9285699100. The cubic root of 2822160 is about 141.3168269161.

It can be divided in two parts, 282 and 2160, that added together give a palindrome (2442).

The spelling of 2822160 in words is "two million, eight hundred twenty-two thousand, one hundred sixty".