2004600073920 has 448 divisors, whose sum is σ = 6732910080000. Its totient is φ = 504589123584.

The previous prime is 2004600073837. The next prime is 2004600073933. The reversal of 2004600073920 is 293700064002.

It is a Cunningham number, because it is equal to 1415839²-1.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 226529656 + ... + 226538504.

Almost surely, 2^{2004600073920} is an apocalyptic number.

2004600073920 is a gapful number since it is divisible by the number (20) 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 2004600073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366455040000).

2004600073920 is an abundant number, since it is smaller than the sum of its proper divisors (4728310006080).

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

2004600073920 is a wasteful number, since it uses less digits than its factorization.

2004600073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 2004600073920 in words is "two trillion, four billion, six hundred million, seventy-three thousand, nine hundred twenty".