2045030400 has 468 divisors, whose sum is σ = 8397675312. Its totient is φ = 465960960.

The previous prime is 2045030399. The next prime is 2045030417. The reversal of 2045030400 is 40305402.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6451042 + ... + 6451358.

Almost surely, 2^2045030400 is an apocalyptic number.

2045030400 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 2045030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198837656).

2045030400 is an abundant number, since it is smaller than the sum of its proper divisors (6352644912).

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

2045030400 is a wasteful number, since it uses less digits than its factorization.

2045030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2045030400 is about 45222.0123391253. The cubic root of 2045030400 is about 1269.3067495943.

Adding to 2045030400 its reverse (40305402), we get a palindrome (2085335802).

The spelling of 2045030400 in words is "two billion, forty-five million, thirty thousand, four hundred".