2040333200 has 120 divisors (see below), whose sum is σ = 5358228480. Its totient is φ = 743270400.

The previous prime is 2040333199. The next prime is 2040333203. The reversal of 2040333200 is 23330402.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2040333203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205961 + ... + 215639.

It is an arithmetic number, because the mean of its divisors is an integer number (44651904).

Almost surely, 2^2040333200 is an apocalyptic number.

2040333200 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 2040333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679114240).

2040333200 is an abundant number, since it is smaller than the sum of its proper divisors (3317895280).

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

2040333200 is a wasteful number, since it uses less digits than its factorization.

2040333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2040333200 is about 45170.0475979382. The cubic root of 2040333200 is about 1268.3341873090.

Adding to 2040333200 its reverse (23330402), we get a palindrome (2063663602).

The spelling of 2040333200 in words is "two billion, forty million, three hundred thirty-three thousand, two hundred".