2835200 has 54 divisors (see below), whose sum is σ = 7033404. Its totient is φ = 1131520.

The previous prime is 2835169. The next prime is 2835211. The reversal of 2835200 is 25382.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6179 + ... + 6621.

2^2835200 is an apocalyptic number.

2835200 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 2835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516702).

2835200 is an abundant number, since it is smaller than the sum of its proper divisors (4198204).

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

2835200 is an equidigital number, since it uses as much as digits as its factorization.

2835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2835200 is about 1683.8052143879. The cubic root of 2835200 is about 141.5341475104.

The spelling of 2835200 in words is "two million, eight hundred thirty-five thousand, two hundred".