2005300014 has 16 divisors (see below), whose sum is σ = 4221684480. Its totient is φ = 633252600.

The previous prime is 2005300013. The next prime is 2005300021. The reversal of 2005300014 is 4100035002.

It is a super-2 number, since 2×2005300014² = 8042456292296800392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005299966 and 2005300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005300013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8795062 + ... + 8795289.

It is an arithmetic number, because the mean of its divisors is an integer number (263855280).

Almost surely, 2^2005300014 is an apocalyptic number.

2005300014 is an abundant number, since it is smaller than the sum of its proper divisors (2216384466).

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

2005300014 is a wasteful number, since it uses less digits than its factorization.

2005300014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17590375.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2005300014 is about 44780.5763026784. The cubic root of 2005300014 is about 1261.0330014466.

Adding to 2005300014 its reverse (4100035002), we get a palindrome (6105335016).

The spelling of 2005300014 in words is "two billion, five million, three hundred thousand, fourteen".