2102220208 has 80 divisors (see below), whose sum is σ = 4612204800. Its totient is φ = 919466240.

The previous prime is 2102220203. The next prime is 2102220227. The reversal of 2102220208 is 8020222012.

It is not an unprimeable number, because it can be changed into a prime (2102220203) 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 15 ways as a sum of consecutive naturals, for example, 2138085 + ... + 2139067.

It is an arithmetic number, because the mean of its divisors is an integer number (57652560).

Almost surely, 2^2102220208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306102400).

2102220208 is an abundant number, since it is smaller than the sum of its proper divisors (2509984592).

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

2102220208 is a wasteful number, since it uses less digits than its factorization.

2102220208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2102220208 is about 45849.9750054457. The cubic root of 2102220208 is about 1281.0303000237.

The spelling of 2102220208 in words is "two billion, one hundred two million, two hundred twenty thousand, two hundred eight".