2002110000000 has 512 divisors, whose sum is σ = 7253137681920. Its totient is φ = 485280000000.

The previous prime is 2002109999983. The next prime is 2002110000001. The reversal of 2002110000000 is 112002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002110000001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 329996967 + ... + 330003033.

It is an arithmetic number, because the mean of its divisors is an integer number (14166284535).

Almost surely, 2^{2002110000000} is an apocalyptic number.

2002110000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626568840960).

2002110000000 is an abundant number, since it is smaller than the sum of its proper divisors (5251027681920).

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

2002110000000 is an frugal number, since it uses more digits than its factorization.

2002110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2002110000000 its reverse (112002), we get a palindrome (2002110112002).

The spelling of 2002110000000 in words is "two trillion, two billion, one hundred ten million", and thus it is an aban number.