2002003305 has 32 divisors (see below), whose sum is σ = 3443558400. Its totient is φ = 990009792.

The previous prime is 2002003301. The next prime is 2002003307. The reversal of 2002003305 is 5033002002.

It is not a de Polignac number, because 2002003305 - 2² = 2002003301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2002003301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61335 + ... + 88124.

It is an arithmetic number, because the mean of its divisors is an integer number (107611200).

Almost surely, 2^2002003305 is an apocalyptic number.

It is an amenable number.

2002003305 is a deficient number, since it is larger than the sum of its proper divisors (1441555095).

2002003305 is a wasteful number, since it uses less digits than its factorization.

2002003305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149533.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2002003305 is about 44743.7515749406. The cubic root of 2002003305 is about 1260.3415772085.

Adding to 2002003305 its reverse (5033002002), we get a palindrome (7035005307).

The spelling of 2002003305 in words is "two billion, two million, three thousand, three hundred five".