2004506466800 has 60 divisors (see below), whose sum is σ = 4818538583376. Its totient is φ = 801351091200.

The previous prime is 2004506466797. The next prime is 2004506466803. The reversal of 2004506466800 is 86646054002.

It is an interprime number because it is at equal distance from previous prime (2004506466797) and next prime (2004506466803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004506466803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699236 + ... + 2120835.

Almost surely, 2^{2004506466800} is an apocalyptic number.

2004506466800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004506466800 is an abundant number, since it is smaller than the sum of its proper divisors (2814032116576).

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

2004506466800 is a wasteful number, since it uses less digits than its factorization.

2004506466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821866 (or 2821855 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 2004506466800 in words is "two trillion, four billion, five hundred six million, four hundred sixty-six thousand, eight hundred".