2002210331220 has 216 divisors, whose sum is σ = 6692365953000. Its totient is φ = 484171776000.

The previous prime is 2002210331131. The next prime is 2002210331221. The reversal of 2002210331220 is 221330122002.

2002210331220 is a `hidden beast` number, since 200 + 2 + 210 + 3 + 31 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164808393156 + 1837401938064 = 405966^2 + 1355508^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2002210331193 and 2002210331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002210331221) 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 71 ways as a sum of consecutive naturals, for example, 8619156 + ... + 8848404.

Almost surely, 2^{2002210331220} is an apocalyptic number.

2002210331220 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 2002210331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346182976500).

2002210331220 is an abundant number, since it is smaller than the sum of its proper divisors (4690155621780).

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

2002210331220 is a wasteful number, since it uses less digits than its factorization.

2002210331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229687 (or 229671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002210331220 its reverse (221330122002), we get a palindrome (2223540453222).

The spelling of 2002210331220 in words is "two trillion, two billion, two hundred ten million, three hundred thirty-one thousand, two hundred twenty".