2824800 has 144 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 678400.

The previous prime is 2824793. The next prime is 2824807. The reversal of 2824800 is 84282.

It is an interprime number because it is at equal distance from previous prime (2824793) and next prime (2824807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26347 + ... + 26453.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^2824800 is an apocalyptic number.

2824800 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 2824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

2824800 is an abundant number, since it is smaller than the sum of its proper divisors (7299552).

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

2824800 is a wasteful number, since it uses less digits than its factorization.

2824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2824800 is about 1680.7141339324. The cubic root of 2824800 is about 141.3608782989.

The spelling of 2824800 in words is "two million, eight hundred twenty-four thousand, eight hundred".