2005852800 has 384 divisors, whose sum is σ = 7953062400. Its totient is φ = 434073600.

The previous prime is 2005852759. The next prime is 2005852801. The reversal of 2005852800 is 82585002.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (2005852801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276015 + ... + 1277585.

It is an arithmetic number, because the mean of its divisors is an integer number (20711100).

Almost surely, 2^2005852800 is an apocalyptic number.

2005852800 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 2005852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976531200).

2005852800 is an abundant number, since it is smaller than the sum of its proper divisors (5947209600).

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

2005852800 is a wasteful number, since it uses less digits than its factorization.

2005852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2005852800 is about 44786.7480400174. The cubic root of 2005852800 is about 1261.1488639677.

The spelling of 2005852800 in words is "two billion, five million, eight hundred fifty-two thousand, eight hundred".