2005350340 has 48 divisors (see below), whose sum is σ = 4822578432. Its totient is φ = 686157696.

The previous prime is 2005350331. The next prime is 2005350349. The reversal of 2005350340 is 430535002.

It is an interprime number because it is at equal distance from previous prime (2005350331) and next prime (2005350349).

It is a super-2 number, since 2×2005350340² = 8042859972276231200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005350349) 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, 56182 + ... + 84658.

It is an arithmetic number, because the mean of its divisors is an integer number (100470384).

Almost surely, 2^2005350340 is an apocalyptic number.

2005350340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005350340 is an abundant number, since it is smaller than the sum of its proper divisors (2817228092).

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

2005350340 is a wasteful number, since it uses less digits than its factorization.

2005350340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28996 (or 28994 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2005350340 is about 44781.1382168877. The cubic root of 2005350340 is about 1261.0435505275.

Adding to 2005350340 its reverse (430535002), we get a palindrome (2435885342).

The spelling of 2005350340 in words is "two billion, five million, three hundred fifty thousand, three hundred forty".