2033105000 has 80 divisors (see below), whose sum is σ = 4797292500. Its totient is φ = 807488000.

The previous prime is 2033104993. The next prime is 2033105057. The reversal of 2033105000 is 5013302.

It can be written as a sum of positive squares in 10 ways, for example, as 84235684 + 1948869316 = 9178^2 + 44146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 743636 + ... + 746364.

Almost surely, 2^2033105000 is an apocalyptic number.

2033105000 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 2033105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398646250).

2033105000 is an abundant number, since it is smaller than the sum of its proper divisors (2764187500).

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

2033105000 is a wasteful number, since it uses less digits than its factorization.

2033105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2033105000 is about 45089.9656242938. The cubic root of 2033105000 is about 1266.8346576208.

Adding to 2033105000 its reverse (5013302), we get a palindrome (2038118302).

The spelling of 2033105000 in words is "two billion, thirty-three million, one hundred five thousand".