2004334731 has 24 divisors (see below), whose sum is σ = 3503376864. Its totient is φ = 1077960960.

The previous prime is 2004334727. The next prime is 2004334763. The reversal of 2004334731 is 1374334002.

It is not a de Polignac number, because 2004334731 - 2² = 2004334727 is a prime.

It is a super-2 number, since 2×2004334731² = 8034715427785684722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2004334695 and 2004334704.

It is not an unprimeable number, because it can be changed into a prime (2004334711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934660 + ... + 936801.

It is an arithmetic number, because the mean of its divisors is an integer number (145974036).

Almost surely, 2^2004334731 is an apocalyptic number.

2004334731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2004334731 is a deficient number, since it is larger than the sum of its proper divisors (1499042133).

2004334731 is a wasteful number, since it uses less digits than its factorization.

2004334731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871491 (or 1871488 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2004334731 is about 44769.7970846418. The cubic root of 2004334731 is about 1260.8306295526.

Adding to 2004334731 its reverse (1374334002), we get a palindrome (3378668733).

The spelling of 2004334731 in words is "two billion, four million, three hundred thirty-four thousand, seven hundred thirty-one".