2002059223416 has 320 divisors, whose sum is σ = 6702014753280. Its totient is φ = 545946635520.

The previous prime is 2002059223369. The next prime is 2002059223441. The reversal of 2002059223416 is 6143229502002.

2002059223416 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 592 + 23 + 41 + 6 = 666.

It is a super-2 number, since 2×2002059223416² (a number of 25 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 48074395 + ... + 48116021.

It is an arithmetic number, because the mean of its divisors is an integer number (20943796104).

Almost surely, 2^{2002059223416} 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 2002059223416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351007376640).

2002059223416 is an abundant number, since it is smaller than the sum of its proper divisors (4699955529864).

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

2002059223416 is a wasteful number, since it uses less digits than its factorization.

2002059223416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42136 (or 42123 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2002059223416 in words is "two trillion, two billion, fifty-nine million, two hundred twenty-three thousand, four hundred sixteen".