2005333345200 has 240 divisors, whose sum is σ = 6476271563520. Its totient is φ = 530401244160.

The previous prime is 2005333345049. The next prime is 2005333345207. The reversal of 2005333345200 is 25433335002.

It is a tau number, because it is divible by the number of its divisors (240).

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 (2005333345207) 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, 73261917 + ... + 73289283.

It is an arithmetic number, because the mean of its divisors is an integer number (26984464848).

Almost surely, 2^{2005333345200} is an apocalyptic number.

2005333345200 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 2005333345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238135781760).

2005333345200 is an abundant number, since it is smaller than the sum of its proper divisors (4470938218320).

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

2005333345200 is a wasteful number, since it uses less digits than its factorization.

2005333345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27884 (or 27873 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 2005333345200 in words is "two trillion, five billion, three hundred thirty-three million, three hundred forty-five thousand, two hundred".