2008574384128 has 96 divisors (see below), whose sum is σ = 4367101284000. Its totient is φ = 918032744448.

The previous prime is 2008574384101. The next prime is 2008574384147. The reversal of 2008574384128 is 8214834758002.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 7 ways as a sum of consecutive naturals, for example, 2376048 + ... + 3108496.

It is an arithmetic number, because the mean of its divisors is an integer number (45490638375).

Almost surely, 2^{2008574384128} 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 2008574384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183550642000).

2008574384128 is an abundant number, since it is smaller than the sum of its proper divisors (2358526899872).

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

2008574384128 is a wasteful number, since it uses less digits than its factorization.

2008574384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732587 (or 732567 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 2008574384128 in words is "two trillion, eight billion, five hundred seventy-four million, three hundred eighty-four thousand, one hundred twenty-eight".