2004205012992 has 768 divisors, whose sum is σ = 7691943168000. Its totient is φ = 500737572864.

The previous prime is 2004205012921. The next prime is 2004205013017. The reversal of 2004205012992 is 2992105024002.

2004205012992 is a `hidden beast` number, since 2 + 0 + 0 + 42 + 0 + 501 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 95596303 + ... + 95617265.

It is an arithmetic number, because the mean of its divisors is an integer number (10015551000).

Almost surely, 2^{2004205012992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004205012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845971584000).

2004205012992 is an abundant number, since it is smaller than the sum of its proper divisors (5687738155008).

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

2004205012992 is a wasteful number, since it uses less digits than its factorization.

2004205012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21007 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2004205012992 in words is "two trillion, four billion, two hundred five million, twelve thousand, nine hundred ninety-two".