2823840 has 144 divisors (see below), whose sum is σ = 10083528. Its totient is φ = 718848.

The previous prime is 2823839. The next prime is 2823857. The reversal of 2823840 is 483282.

2823840 is a `hidden beast` number, since 282 + 384 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 41616 = 1668^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53254 + ... + 53306.

2^2823840 is an apocalyptic number.

2823840 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 2823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041764).

2823840 is an abundant number, since it is smaller than the sum of its proper divisors (7259688).

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

2823840 is a wasteful number, since it uses less digits than its factorization.

2823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2823840 is about 1680.4285167778. The cubic root of 2823840 is about 141.3448627911.

It can be divided in two parts, 2823 and 840, that added together give a palindrome (3663).

The spelling of 2823840 in words is "two million, eight hundred twenty-three thousand, eight hundred forty".