2004134162007 has 32 divisors (see below), whose sum is σ = 2780078598144. Its totient is φ = 1282828377600.

The previous prime is 2004134161933. The next prime is 2004134162021. The reversal of 2004134162007 is 7002614314002.

It is not a de Polignac number, because 2004134162007 - 2⁸ = 2004134161751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004134162047) 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, 23030523 + ... + 23117379.

It is an arithmetic number, because the mean of its divisors is an integer number (86877456192).

Almost surely, 2^{2004134162007} is an apocalyptic number.

2004134162007 is a deficient number, since it is larger than the sum of its proper divisors (775944436137).

2004134162007 is a wasteful number, since it uses less digits than its factorization.

2004134162007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88839.

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 2004134162007 its reverse (7002614314002), we get a palindrome (9006748476009).

The spelling of 2004134162007 in words is "two trillion, four billion, one hundred thirty-four million, one hundred sixty-two thousand, seven".