2045213200 has 120 divisors (see below), whose sum is σ = 5192475200. Its totient is φ = 772001280.

The previous prime is 2045213179. The next prime is 2045213201. The reversal of 2045213200 is 23125402.

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 (2045213201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3336094 + ... + 3336706.

Almost surely, 2^2045213200 is an apocalyptic number.

2045213200 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 2045213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596237600).

2045213200 is an abundant number, since it is smaller than the sum of its proper divisors (3147262000).

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

2045213200 is a wasteful number, since it uses less digits than its factorization.

2045213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2045213200 is about 45224.0334335627. The cubic root of 2045213200 is about 1269.3445684878.

Adding to 2045213200 its reverse (23125402), we get a palindrome (2068338602).

The spelling of 2045213200 in words is "two billion, forty-five million, two hundred thirteen thousand, two hundred".