2000530400 has 144 divisors (see below), whose sum is σ = 5350157568. Its totient is φ = 724416000.

The previous prime is 2000530391. The next prime is 2000530429. The reversal of 2000530400 is 40350002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4074155 + ... + 4074645.

It is an arithmetic number, because the mean of its divisors is an integer number (37153872).

Almost surely, 2^2000530400 is an apocalyptic number.

2000530400 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 2000530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675078784).

2000530400 is an abundant number, since it is smaller than the sum of its proper divisors (3349627168).

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

2000530400 is a wasteful number, since it uses less digits than its factorization.

2000530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2000530400 is about 44727.2892091618. The cubic root of 2000530400 is about 1260.0324170714.

Adding to 2000530400 its reverse (40350002), we get a palindrome (2040880402).

It can be divided in two parts, 20005 and 30400, that added together give a palindrome (50405).

The spelling of 2000530400 in words is "two billion, five hundred thirty thousand, four hundred".