2005208800 has 72 divisors (see below), whose sum is σ = 5594548176. Its totient is φ = 687498240.

The previous prime is 2005208797. The next prime is 2005208801. The reversal of 2005208800 is 88025002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005208801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173437 + ... + 184636.

It is an arithmetic number, because the mean of its divisors is an integer number (77702058).

Almost surely, 2^2005208800 is an apocalyptic number.

2005208800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005208800 is an abundant number, since it is smaller than the sum of its proper divisors (3589339376).

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

2005208800 is a wasteful number, since it uses less digits than its factorization.

2005208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358100 (or 358087 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 2005208800 is about 44779.5578361377. The cubic root of 2005208800 is about 1261.0138811808.

The spelling of 2005208800 in words is "two billion, five million, two hundred eight thousand, eight hundred".