2002233124416 has 224 divisors, whose sum is σ = 6259205558272. Its totient is φ = 552917145600.

The previous prime is 2002233124351. The next prime is 2002233124417. The reversal of 2002233124416 is 6144213322002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-5 number, since 5×2002233124416⁵ (a number of 63 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002233124417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7375605 + ... + 7642251.

Almost surely, 2^{2002233124416} 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 2002233124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129602779136).

2002233124416 is an abundant number, since it is smaller than the sum of its proper divisors (4256972433856).

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

2002233124416 is a wasteful number, since it uses less digits than its factorization.

2002233124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266857 (or 266847 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2002233124416 its reverse (6144213322002), we get a palindrome (8146446446418).

The spelling of 2002233124416 in words is "two trillion, two billion, two hundred thirty-three million, one hundred twenty-four thousand, four hundred sixteen".