2836000 has 48 divisors (see below), whose sum is σ = 6977880. Its totient is φ = 1132800.

The previous prime is 2835971. The next prime is 2836003. The reversal of 2836000 is 6382.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 2471184 = 604^2 + 1572^2 .

It is not an unprimeable number, because it can be changed into a prime (2836003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3646 + ... + 4354.

2^2836000 is an apocalyptic number.

2836000 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 2836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488940).

2836000 is an abundant number, since it is smaller than the sum of its proper divisors (4141880).

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

2836000 is an equidigital number, since it uses as much as digits as its factorization.

2836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2836000 is about 1684.0427548017. The cubic root of 2836000 is about 141.5474583492.

The spelling of 2836000 in words is "two million, eight hundred thirty-six thousand".