2002414214112 has 192 divisors, whose sum is σ = 5801969295360. Its totient is φ = 600912635904.

The previous prime is 2002414214111. The next prime is 2002414214131. The reversal of 2002414214112 is 2114124142002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002414214111) 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, 9244198 + ... + 9458330.

It is an arithmetic number, because the mean of its divisors is an integer number (30218590080).

Almost surely, 2^{2002414214112} 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 2002414214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900984647680).

2002414214112 is an abundant number, since it is smaller than the sum of its proper divisors (3799555081248).

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

2002414214112 is a wasteful number, since it uses less digits than its factorization.

2002414214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214345 (or 214337 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2002414214112 its reverse (2114124142002), we get a palindrome (4116538356114).

The spelling of 2002414214112 in words is "two trillion, two billion, four hundred fourteen million, two hundred fourteen thousand, one hundred twelve".