2004872769984 has 336 divisors, whose sum is σ = 6542484268320. Its totient is φ = 538391347200.

The previous prime is 2004872769947. The next prime is 2004872770007. The reversal of 2004872769984 is 4899672784002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2004872769984³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122982634 + ... + 122998934.

It is an arithmetic number, because the mean of its divisors is an integer number (19471679370).

Almost surely, 2^{2004872769984} is an apocalyptic number.

2004872769984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004872769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271242134160).

2004872769984 is an abundant number, since it is smaller than the sum of its proper divisors (4537611498336).

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

2004872769984 is a wasteful number, since it uses less digits than its factorization.

2004872769984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17116 (or 17099 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 2004872769984 in words is "two trillion, four billion, eight hundred seventy-two million, seven hundred sixty-nine thousand, nine hundred eighty-four".