2389824 has 70 divisors (see below), whose sum is σ = 7099554. Its totient is φ = 794880.

The previous prime is 2389813. The next prime is 2389831. The reversal of 2389824 is 4289832.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 518400 = 1368^2 + 720^2 .

It is a super-2 number, since 2×2389824² = 11422517501952, which contains 22 as substring.

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.

It is a nialpdrome in base 9 and base 12.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4954 + ... + 5414.

2^2389824 is an apocalyptic number.

2389824 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 2389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549777).

2389824 is an abundant number, since it is smaller than the sum of its proper divisors (4709730).

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

2389824 is an equidigital number, since it uses as much as digits as its factorization.

2389824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

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

The square root of 2389824 is about 1545.9055598580. The cubic root of 2389824 is about 133.6970955642.

The spelling of 2389824 in words is "two million, three hundred eighty-nine thousand, eight hundred twenty-four".