2822800 has 30 divisors (see below), whose sum is σ = 6782738. Its totient is φ = 1128960.

The previous prime is 2822791. The next prime is 2822819. The reversal of 2822800 is 82282.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 1838736 = 992^2 + 1356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3129 + ... + 3928.

2^2822800 is an apocalyptic number.

2822800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2822800 is an abundant number, since it is smaller than the sum of its proper divisors (3959938).

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

2822800 is a wasteful number, since it uses less digits than its factorization.

2822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7075 (or 7064 counting only the distinct ones).

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

The square root of 2822800 is about 1680.1190434014. The cubic root of 2822800 is about 141.3275085610.

The spelling of 2822800 in words is "two million, eight hundred twenty-two thousand, eight hundred".