2005904080128 has 432 divisors, whose sum is σ = 5972383549440. Its totient is φ = 597035851776.

The previous prime is 2005904080127. The next prime is 2005904080211. The reversal of 2005904080128 is 8210804095002.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005904080127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 597171313 + ... + 597174671.

It is an arithmetic number, because the mean of its divisors is an integer number (13824961920).

Almost surely, 2^{2005904080128} 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 2005904080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986191774720).

2005904080128 is an abundant number, since it is smaller than the sum of its proper divisors (3966479469312).

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

2005904080128 is a wasteful number, since it uses less digits than its factorization.

2005904080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 2005904080128 in words is "two trillion, five billion, nine hundred four million, eighty thousand, one hundred twenty-eight".