2005732800 has 336 divisors, whose sum is σ = 7568488800. Its totient is φ = 516096000.

The previous prime is 2005732727. The next prime is 2005732801. The reversal of 2005732800 is 82375002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005732801) 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, 1252000 + ... + 1253600.

Almost surely, 2^2005732800 is an apocalyptic number.

2005732800 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 2005732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784244400).

2005732800 is an abundant number, since it is smaller than the sum of its proper divisors (5562756000).

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

2005732800 is a wasteful number, since it uses less digits than its factorization.

2005732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2005732800 is about 44785.4083379844. The cubic root of 2005732800 is about 1261.1237140860.

The spelling of 2005732800 in words is "two billion, five million, seven hundred thirty-two thousand, eight hundred".