2000434400 has 36 divisors (see below), whose sum is σ = 4883562432. Its totient is φ = 800173440.

The previous prime is 2000434393. The next prime is 2000434417. The reversal of 2000434400 is 44340002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1249472 + ... + 1251071.

It is an arithmetic number, because the mean of its divisors is an integer number (135654512).

Almost surely, 2^2000434400 is an apocalyptic number.

2000434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000434400 is an abundant number, since it is smaller than the sum of its proper divisors (2883128032).

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

2000434400 is a wasteful number, since it uses less digits than its factorization.

2000434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500563 (or 2500550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2000434400 is about 44726.2160259506. The cubic root of 2000434400 is about 1260.0122615755.

Adding to 2000434400 its reverse (44340002), we get a palindrome (2044774402).

The spelling of 2000434400 in words is "two billion, four hundred thirty-four thousand, four hundred".