2005340733 has 96 divisors (see below), whose sum is σ = 3413329920. Its totient is φ = 1165933440.

The previous prime is 2005340717. The next prime is 2005340737. The reversal of 2005340733 is 3370435002.

2005340733 is a `hidden beast` number, since 200 + 53 + 407 + 3 + 3 = 666.

It is not a de Polignac number, because 2005340733 - 2⁴ = 2005340717 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2005340697 and 2005340706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005340737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8390428 + ... + 8390666.

It is an arithmetic number, because the mean of its divisors is an integer number (35555520).

Almost surely, 2^2005340733 is an apocalyptic number.

It is an amenable number.

2005340733 is a deficient number, since it is larger than the sum of its proper divisors (1407989187).

2005340733 is a wasteful number, since it uses less digits than its factorization.

2005340733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 2005340733 is about 44781.0309506157. The cubic root of 2005340733 is about 1261.0415367705.

Adding to 2005340733 its reverse (3370435002), we get a palindrome (5375775735).

The spelling of 2005340733 in words is "two billion, five million, three hundred forty thousand, seven hundred thirty-three".