2823680 has 40 divisors (see below), whose sum is σ = 6776352. Its totient is φ = 1128448.

The previous prime is 2823679. The next prime is 2823721. The reversal of 2823680 is 863282.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2009 + ... + 3111.

2^2823680 is an apocalyptic number.

2823680 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 2823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388176).

2823680 is an abundant number, since it is smaller than the sum of its proper divisors (3952672).

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

2823680 is an equidigital number, since it uses as much as digits as its factorization.

2823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2823680 is about 1680.3809091989. The cubic root of 2823680 is about 141.3421931869.

The spelling of 2823680 in words is "two million, eight hundred twenty-three thousand, six hundred eighty".