2884800 has 84 divisors (see below), whose sum is σ = 9480296. Its totient is φ = 768000.

The previous prime is 2884799. The next prime is 2884807. The reversal of 2884800 is 84882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2884807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 5100.

2^2884800 is an apocalyptic number.

2884800 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 2884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740148).

2884800 is an abundant number, since it is smaller than the sum of its proper divisors (6595496).

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

2884800 is a wasteful number, since it uses less digits than its factorization.

2884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2884800 is about 1698.4698996450. The cubic root of 2884800 is about 142.3547303814.

The spelling of 2884800 in words is "two million, eight hundred eighty-four thousand, eight hundred".