2004931842966 has 48 divisors (see below), whose sum is σ = 4706187411744. Its totient is φ = 613208068992.

The previous prime is 2004931842929. The next prime is 2004931842967. The reversal of 2004931842966 is 6692481394002.

2004931842966 is a `hidden beast` number, since 20 + 0 + 493 + 1 + 8 + 42 + 96 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004931842967) by changing a digit.

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 in 23 ways as a sum of consecutive naturals, for example, 25613871 + ... + 25692026.

It is an arithmetic number, because the mean of its divisors is an integer number (98045571078).

Almost surely, 2^{2004931842966} is an apocalyptic number.

2004931842966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2004931842966 is an abundant number, since it is smaller than the sum of its proper divisors (2701255568778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004931842966 is a wasteful number, since it uses less digits than its factorization.

2004931842966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51306085 (or 51306082 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2004931842966 in words is "two trillion, four billion, nine hundred thirty-one million, eight hundred forty-two thousand, nine hundred sixty-six".