2005300768 has 12 divisors (see below), whose sum is σ = 3947935950. Its totient is φ = 1002650368.

The previous prime is 2005300757. The next prime is 2005300769. The reversal of 2005300768 is 8670035002.

It can be written as a sum of positive squares in only one way, i.e., 2002383504 + 2917264 = 44748^2 + 1708^2 .

It is a super-3 number, since 3×2005300768³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005300769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31332793 + ... + 31332856.

Almost surely, 2^2005300768 is an apocalyptic number.

It is an amenable number.

2005300768 is a deficient number, since it is larger than the sum of its proper divisors (1942635182).

2005300768 is an equidigital number, since it uses as much as digits as its factorization.

2005300768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62665659 (or 62665651 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2005300768 is about 44780.5847215063. The cubic root of 2005300768 is about 1261.0331594976.

It can be divided in two parts, 200 and 5300768, that multiplied together give a square (1060153600 = 32560²).

The spelling of 2005300768 in words is "two billion, five million, three hundred thousand, seven hundred sixty-eight".