2036000 has 48 divisors (see below), whose sum is σ = 5012280. Its totient is φ = 812800.

The previous prime is 2035973. The next prime is 2036009. The reversal of 2036000 is 6302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 1106704 = 964^2 + 1052^2 .

It is not an unprimeable number, because it can be changed into a prime (2036009) 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, 3746 + ... + 4254.

2^2036000 is an apocalyptic number.

2036000 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 2036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140).

2036000 is an abundant number, since it is smaller than the sum of its proper divisors (2976280).

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

2036000 is an equidigital number, since it uses as much as digits as its factorization.

2036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2036000 is about 1426.8847185390. The cubic root of 2036000 is about 126.7435667236.

The spelling of 2036000 in words is "two million, thirty-six thousand", and thus it is an eban number.