2033100000 has 360 divisors, whose sum is σ = 7503410376. Its totient is φ = 540000000.

The previous prime is 2033099969. The next prime is 2033100007. The reversal of 2033100000 is 13302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2033100000² = 8266991220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033100007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8099875 + ... + 8100125.

Almost surely, 2^2033100000 is an apocalyptic number.

2033100000 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 2033100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751705188).

2033100000 is an abundant number, since it is smaller than the sum of its proper divisors (5470310376).

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

2033100000 is an frugal number, since it uses more digits than its factorization.

2033100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2033100000 is about 45089.9101795513. The cubic root of 2033100000 is about 1266.8336191143.

Adding to 2033100000 its reverse (13302), we get a palindrome (2033113302).

The spelling of 2033100000 in words is "two billion, thirty-three million, one hundred thousand".