2004566684064 has 48 divisors (see below), whose sum is σ = 6013700054208. Its totient is φ = 572733338112.

The previous prime is 2004566684011. The next prime is 2004566684069. The reversal of 2004566684064 is 4604866654002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2004566683998 and 2004566684016.

It is not an unprimeable number, because it can be changed into a prime (2004566684069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491492397 + ... + 1491493740.

It is an arithmetic number, because the mean of its divisors is an integer number (125285417796).

Almost surely, 2^{2004566684064} is an apocalyptic number.

2004566684064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004566684064 is an abundant number, since it is smaller than the sum of its proper divisors (4009133370144).

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

2004566684064 is a wasteful number, since it uses less digits than its factorization.

2004566684064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982986157 (or 2982986149 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 2004566684064 in words is "two trillion, four billion, five hundred sixty-six million, six hundred eighty-four thousand, sixty-four".