2002112116650 has 144 divisors (see below), whose sum is σ = 5634930412800. Its totient is φ = 508960932480.

The previous prime is 2002112116639. The next prime is 2002112116661. The reversal of 2002112116650 is 566112112002.

2002112116650 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 1 + 2 + 1 + 1 + 6 + 650 = 666.

It is an interprime number because it is at equal distance from previous prime (2002112116639) and next prime (2002112116661).

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 71 ways as a sum of consecutive naturals, for example, 59947 + ... + 2001953.

It is an arithmetic number, because the mean of its divisors is an integer number (39131461200).

Almost surely, 2^{2002112116650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002112116650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817465206400).

2002112116650 is an abundant number, since it is smaller than the sum of its proper divisors (3632818296150).

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

2002112116650 is a wasteful number, since it uses less digits than its factorization.

2002112116650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942133 (or 1942125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 2002112116650 its reverse (566112112002), we get a palindrome (2568224228652).

The spelling of 2002112116650 in words is "two trillion, two billion, one hundred twelve million, one hundred sixteen thousand, six hundred fifty".