2004007311 has 40 divisors (see below), whose sum is σ = 3336608880. Its totient is φ = 1191220992.

The previous prime is 2004007309. The next prime is 2004007337. The reversal of 2004007311 is 1137004002.

It is not a de Polignac number, because 2004007311 - 2¹ = 2004007309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004007301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12136 + ... + 64461.

It is an arithmetic number, because the mean of its divisors is an integer number (83415222).

Almost surely, 2^2004007311 is an apocalyptic number.

2004007311 is a deficient number, since it is larger than the sum of its proper divisors (1332601569).

2004007311 is a wasteful number, since it uses less digits than its factorization.

2004007311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76645 (or 76636 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2004007311 is about 44766.1402289722. The cubic root of 2004007311 is about 1260.7619710863.

The spelling of 2004007311 in words is "two billion, four million, seven thousand, three hundred eleven".