2005603200 has 384 divisors, whose sum is σ = 7437024000. Its totient is φ = 527800320.

The previous prime is 2005603189. The next prime is 2005603217. The reversal of 2005603200 is 23065002.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12009517 + ... + 12009683.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2^2005603200 is an apocalyptic number.

2005603200 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 2005603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512000).

2005603200 is an abundant number, since it is smaller than the sum of its proper divisors (5431420800).

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

2005603200 is a wasteful number, since it uses less digits than its factorization.

2005603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2005603200 is about 44783.9614147744. The cubic root of 2005603200 is about 1261.0965510871.

Adding to 2005603200 its reverse (23065002), we get a palindrome (2028668202).

The spelling of 2005603200 in words is "two billion, five million, six hundred three thousand, two hundred".