2002322131110 has 288 divisors, whose sum is σ = 6184270198080. Its totient is φ = 457230106368.

The previous prime is 2002322131063. The next prime is 2002322131153. The reversal of 2002322131110 is 111312232002.

2002322131110 is a `hidden beast` number, since 20 + 0 + 2 + 322 + 1 + 311 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 821632812 + ... + 821635248.

It is an arithmetic number, because the mean of its divisors is an integer number (21473160410).

Almost surely, 2^{2002322131110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002322131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092135099040).

2002322131110 is an abundant number, since it is smaller than the sum of its proper divisors (4181948066970).

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

2002322131110 is an equidigital number, since it uses as much as digits as its factorization.

2002322131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002322131110 its reverse (111312232002), we get a palindrome (2113634363112).

The spelling of 2002322131110 in words is "two trillion, two billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred ten".