2005693200 has 720 divisors, whose sum is σ = 8635161600. Its totient is φ = 420940800.

The previous prime is 2005693199. The next prime is 2005693241. The reversal of 2005693200 is 23965002.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28249165 + ... + 28249235.

It is an arithmetic number, because the mean of its divisors is an integer number (11993280).

Almost surely, 2^2005693200 is an apocalyptic number.

2005693200 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 2005693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317580800).

2005693200 is an abundant number, since it is smaller than the sum of its proper divisors (6629468400).

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

2005693200 is a wasteful number, since it uses less digits than its factorization.

2005693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2005693200 is about 44784.9662275188. The cubic root of 2005693200 is about 1261.1154144050.

The spelling of 2005693200 in words is "two billion, five million, six hundred ninety-three thousand, two hundred".