2002016656416 has 288 divisors, whose sum is σ = 6205909893120. Its totient is φ = 563356684800.

The previous prime is 2002016656379. The next prime is 2002016656459. The reversal of 2002016656416 is 6146566102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391092705 + ... + 391097823.

It is an arithmetic number, because the mean of its divisors is an integer number (21548298240).

Almost surely, 2^{2002016656416} 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 2002016656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102954946560).

2002016656416 is an abundant number, since it is smaller than the sum of its proper divisors (4203893236704).

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

2002016656416 is a wasteful number, since it uses less digits than its factorization.

2002016656416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2002016656416 in words is "two trillion, two billion, sixteen million, six hundred fifty-six thousand, four hundred sixteen".