2045033100 has 324 divisors, whose sum is σ = 7158682440. Its totient is φ = 487872000.

The previous prime is 2045033057. The next prime is 2045033117. The reversal of 2045033100 is 13305402.

It is a super-2 number, since 2×2045033100² = 8364320760191220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9691995 + ... + 9692205.

Almost surely, 2^2045033100 is an apocalyptic number.

2045033100 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 2045033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579341220).

2045033100 is an abundant number, since it is smaller than the sum of its proper divisors (5113649340).

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

2045033100 is a wasteful number, since it uses less digits than its factorization.

2045033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2045033100 is about 45222.0421918338. The cubic root of 2045033100 is about 1269.3073082049.

Adding to 2045033100 its reverse (13305402), we get a palindrome (2058338502).

The spelling of 2045033100 in words is "two billion, forty-five million, thirty-three thousand, one hundred".