2823360 has 112 divisors (see below), whose sum is σ = 9546336. Its totient is φ = 704512.

The previous prime is 2823329. The next prime is 2823361. The reversal of 2823360 is 633282.

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 2823360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16234 + ... + 16406.

2^2823360 is an apocalyptic number.

2823360 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 2823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773168).

2823360 is an abundant number, since it is smaller than the sum of its proper divisors (6722976).

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

2823360 is a wasteful number, since it uses less digits than its factorization.

2823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2823360 is about 1680.2856899944. The cubic root of 2823360 is about 141.3368536760.

The spelling of 2823360 in words is "two million, eight hundred twenty-three thousand, three hundred sixty".