2002104317424 has 80 divisors (see below), whose sum is σ = 5226694782624. Its totient is φ = 660332544000.

The previous prime is 2002104317393. The next prime is 2002104317449. The reversal of 2002104317424 is 4247134012002.

It is a junction number, because it is equal to n+sod(n) for n = 2002104317391 and 2002104317400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7395984 + ... + 7661904.

Almost surely, 2^{2002104317424} is an apocalyptic number.

2002104317424 is a gapful number since it is divisible by the number (24) 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 2002104317424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613347391312).

2002104317424 is an abundant number, since it is smaller than the sum of its proper divisors (3224590465200).

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

2002104317424 is a wasteful number, since it uses less digits than its factorization.

2002104317424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267586 (or 267580 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 2002104317424 its reverse (4247134012002), we get a palindrome (6249238329426).

The spelling of 2002104317424 in words is "two trillion, two billion, one hundred four million, three hundred seventeen thousand, four hundred twenty-four".