2804800 has 42 divisors (see below), whose sum is σ = 6905498. Its totient is φ = 1121280.

The previous prime is 2804759. The next prime is 2804807. The reversal of 2804800 is 84082.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 2795584 = 96^2 + 1672^2 .

It is not an unprimeable number, because it can be changed into a prime (2804807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724 + ... + 2476.

2^2804800 is an apocalyptic number.

2804800 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 2804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452749).

2804800 is an abundant number, since it is smaller than the sum of its proper divisors (4100698).

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

2804800 is a wasteful number, since it uses less digits than its factorization.

2804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2804800 is about 1674.7537132367. The cubic root of 2804800 is about 141.0264692188.

Adding to 2804800 its reverse (84082), we get a palindrome (2888882).

The spelling of 2804800 in words is "two million, eight hundred four thousand, eight hundred".