2004335205032 has 8 divisors (see below), whose sum is σ = 3758128509450. Its totient is φ = 1002167602512.

The previous prime is 2004335205023. The next prime is 2004335205143. The reversal of 2004335205032 is 2305025334002.

It can be written as a sum of positive squares in only one way, i.e., 1925528117956 + 78807087076 = 1387634^2 + 280726^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×2004335205032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004335204986 and 2004335205004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125270950307 + ... + 125270950322.

Almost surely, 2^{2004335205032} is an apocalyptic number.

It is an amenable number.

2004335205032 is a deficient number, since it is larger than the sum of its proper divisors (1753793304418).

2004335205032 is a wasteful number, since it uses less digits than its factorization.

2004335205032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250541900635 (or 250541900631 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The spelling of 2004335205032 in words is "two trillion, four billion, three hundred thirty-five million, two hundred five thousand, thirty-two".