2002322442120 has 1024 divisors, whose sum is σ = 8551070760960. Its totient is φ = 361602662400.

The previous prime is 2002322442119. The next prime is 2002322442179. The reversal of 2002322442120 is 212442232002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137770374 + ... + 137784906.

It is an arithmetic number, because the mean of its divisors is an integer number (8350655040).

Almost surely, 2^{2002322442120} is an apocalyptic number.

2002322442120 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 2002322442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275535380480).

2002322442120 is an abundant number, since it is smaller than the sum of its proper divisors (6548748318840).

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

2002322442120 is a wasteful number, since it uses less digits than its factorization.

2002322442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14646 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2002322442120 its reverse (212442232002), we get a palindrome (2214764674122).

It can be divided in two parts, 2002322 and 442120, that added together give a palindrome (2444442).

The spelling of 2002322442120 in words is "two trillion, two billion, three hundred twenty-two million, four hundred forty-two thousand, one hundred twenty".