2005233511000 has 64 divisors (see below), whose sum is σ = 4711716884160. Its totient is φ = 798765120000.

The previous prime is 2005233510983. The next prime is 2005233511007. The reversal of 2005233511000 is 1153325002.

It is a super-2 number, since 2×2005233511000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005233511007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919236 + ... + 4401235.

It is an arithmetic number, because the mean of its divisors is an integer number (73620576315).

Almost surely, 2^{2005233511000} is an apocalyptic number.

2005233511000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005233511000 is an abundant number, since it is smaller than the sum of its proper divisors (2706483373160).

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

2005233511000 is a wasteful number, since it uses less digits than its factorization.

2005233511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320733 (or 8320719 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 2005233511000 its reverse (1153325002), we get a palindrome (2006386836002).

The spelling of 2005233511000 in words is "two trillion, five billion, two hundred thirty-three million, five hundred eleven thousand".