2002221320 has 64 divisors (see below), whose sum is σ = 4939704000. Its totient is φ = 724353280.

The previous prime is 2002221313. The next prime is 2002221337. The reversal of 2002221320 is 231222002.

It is a junction number, because it is equal to n+sod(n) for n = 2002221295 and 2002221304.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75131 + ... + 98229.

It is an arithmetic number, because the mean of its divisors is an integer number (77182875).

Almost surely, 2^2002221320 is an apocalyptic number.

2002221320 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 2002221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469852000).

2002221320 is an abundant number, since it is smaller than the sum of its proper divisors (2937482680).

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

2002221320 is a wasteful number, since it uses less digits than its factorization.

2002221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23318 (or 23314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002221320 is about 44746.1877705800. The cubic root of 2002221320 is about 1260.3873252841.

Adding to 2002221320 its reverse (231222002), we get a palindrome (2233443322).

It can be divided in two parts, 2002 and 221320, that added together give a palindrome (223322).

The spelling of 2002221320 in words is "two billion, two million, two hundred twenty-one thousand, three hundred twenty".