2005340240 has 40 divisors (see below), whose sum is σ = 4696473960. Its totient is φ = 796276736.

The previous prime is 2005340209. The next prime is 2005340251. The reversal of 2005340240 is 420435002.

It can be written as a sum of positive squares in 4 ways, for example, as 437813776 + 1567526464 = 20924^2 + 39592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80525 + ... + 102444.

It is an arithmetic number, because the mean of its divisors is an integer number (117411849).

Almost surely, 2^2005340240 is an apocalyptic number.

2005340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005340240 is an abundant number, since it is smaller than the sum of its proper divisors (2691133720).

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

2005340240 is a wasteful number, since it uses less digits than its factorization.

2005340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183119 (or 183113 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2005340240 is about 44781.0254460525. The cubic root of 2005340240 is about 1261.0414334309.

Adding to 2005340240 its reverse (420435002), we get a palindrome (2425775242).

The spelling of 2005340240 in words is "two billion, five million, three hundred forty thousand, two hundred forty".