2839824 has 120 divisors (see below), whose sum is σ = 9004632. Its totient is φ = 829440.

The previous prime is 2839819. The next prime is 2839831. The reversal of 2839824 is 4289382.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 2782224 = 240^2 + 1668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (96).

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, 69244 + ... + 69284.

2^2839824 is an apocalyptic number.

2839824 is a gapful number since it is divisible by the number (24) 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 2839824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502316).

2839824 is an abundant number, since it is smaller than the sum of its proper divisors (6164808).

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

2839824 is a wasteful number, since it uses less digits than its factorization.

2839824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2839824 is about 1685.1777354333. The cubic root of 2839824 is about 141.6110496022.

It can be divided in two parts, 2839 and 824, that added together give a palindrome (3663).

The spelling of 2839824 in words is "two million, eight hundred thirty-nine thousand, eight hundred twenty-four".