2834800 has 60 divisors (see below), whose sum is σ = 7188280. Its totient is φ = 1071360.

The previous prime is 2834789. The next prime is 2834807. The reversal of 2834800 is 84382.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834807) 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, 7414 + ... + 7786.

2^2834800 is an apocalyptic number.

2834800 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 2834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594140).

2834800 is an abundant number, since it is smaller than the sum of its proper divisors (4353480).

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

2834800 is a wasteful number, since it uses less digits than its factorization.

2834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2834800 is about 1683.6864316137. The cubic root of 2834800 is about 141.5274911521.

The spelling of 2834800 in words is "two million, eight hundred thirty-four thousand, eight hundred".