2001004965 has 20 divisors (see below), whose sum is σ = 3586987404. Its totient is φ = 1067202432.

The previous prime is 2001004961. The next prime is 2001005003. The reversal of 2001004965 is 5694001002.

It can be written as a sum of positive squares in 2 ways, for example, as 250335684 + 1750669281 = 15822^2 + 41841^2 .

It is not a de Polignac number, because 2001004965 - 2² = 2001004961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001004961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2469972 + ... + 2470781.

Almost surely, 2^2001004965 is an apocalyptic number.

It is an amenable number.

2001004965 is a deficient number, since it is larger than the sum of its proper divisors (1585982439).

2001004965 is an equidigital number, since it uses as much as digits as its factorization.

2001004965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940770 (or 4940761 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2001004965 is about 44732.5939891708. The cubic root of 2001004965 is about 1260.1320439849.

Adding to 2001004965 its reverse (5694001002), we get a palindrome (7695005967).

The spelling of 2001004965 in words is "two billion, one million, four thousand, nine hundred sixty-five".