2884200 has 192 divisors, whose sum is σ = 10713600. Its totient is φ = 633600.

The previous prime is 2884183. The next prime is 2884201. The reversal of 2884200 is 24882.

2884200 = 30² + 31² + ... + 205².

2884200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2884201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125389 + ... + 125411.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2^2884200 is an apocalyptic number.

2884200 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 2884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

2884200 is an abundant number, since it is smaller than the sum of its proper divisors (7829400).

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

2884200 is a wasteful number, since it uses less digits than its factorization.

2884200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

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

The square root of 2884200 is about 1698.2932608946. The cubic root of 2884200 is about 142.3448604007.

The spelling of 2884200 in words is "two million, eight hundred eighty-four thousand, two hundred".