2036800 has 84 divisors (see below), whose sum is σ = 5354320. Its totient is φ = 760320.

The previous prime is 2036791. The next prime is 2036803. The reversal of 2036800 is 86302.

2036800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2036803) 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, 30367 + ... + 30433.

2^2036800 is an apocalyptic number.

2036800 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 2036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677160).

2036800 is an abundant number, since it is smaller than the sum of its proper divisors (3317520).

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

2036800 is a wasteful number, since it uses less digits than its factorization.

2036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

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

The square root of 2036800 is about 1427.1650219929. The cubic root of 2036800 is about 126.7601648860.

The spelling of 2036800 in words is "two million, thirty-six thousand, eight hundred".