2004110024000 has 224 divisors, whose sum is σ = 5708357700864. Its totient is φ = 682743859200.

The previous prime is 2004110023999. The next prime is 2004110024039. The reversal of 2004110024000 is 4200114002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8678027 + ... + 8905973.

It is an arithmetic number, because the mean of its divisors is an integer number (25483739736).

Almost surely, 2^{2004110024000} is an apocalyptic number.

2004110024000 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 2004110024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854178850432).

2004110024000 is an abundant number, since it is smaller than the sum of its proper divisors (3704247676864).

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

2004110024000 is a wasteful number, since it uses less digits than its factorization.

2004110024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228138 (or 228118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2004110024000 its reverse (4200114002), we get a palindrome (2008310138002).

The spelling of 2004110024000 in words is "two trillion, four billion, one hundred ten million, twenty-four thousand".