2005534400 has 84 divisors (see below), whose sum is σ = 4947391680. Its totient is φ = 800179200.

The previous prime is 2005534397. The next prime is 2005534403. The reversal of 2005534400 is 44355002.

It is an interprime number because it is at equal distance from previous prime (2005534397) and next prime (2005534403).

It is not an unprimeable number, because it can be changed into a prime (2005534403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736241 + ... + 738959.

It is an arithmetic number, because the mean of its divisors is an integer number (58897520).

Almost surely, 2^2005534400 is an apocalyptic number.

2005534400 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 2005534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473695840).

2005534400 is an abundant number, since it is smaller than the sum of its proper divisors (2941857280).

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

2005534400 is a wasteful number, since it uses less digits than its factorization.

2005534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2005534400 is about 44783.1932760494. The cubic root of 2005534400 is about 1261.0821307480.

Adding to 2005534400 its reverse (44355002), we get a palindrome (2049889402).

The spelling of 2005534400 in words is "two billion, five million, five hundred thirty-four thousand, four hundred".