2102202320 has 80 divisors (see below), whose sum is σ = 5202591120. Its totient is φ = 787218432.

The previous prime is 2102202299. The next prime is 2102202329. The reversal of 2102202320 is 232022012.

It can be written as a sum of positive squares in 8 ways, for example, as 529984 + 2101672336 = 728^2 + 45844^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2102202295 and 2102202304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102202329) 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, 258476 + ... + 266484.

It is an arithmetic number, because the mean of its divisors is an integer number (65032389).

Almost surely, 2^2102202320 is an apocalyptic number.

2102202320 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 2102202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601295560).

2102202320 is an abundant number, since it is smaller than the sum of its proper divisors (3100388800).

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

2102202320 is a wasteful number, since it uses less digits than its factorization.

2102202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8226 counting only the distinct ones).

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

The square root of 2102202320 is about 45849.7799340411. The cubic root of 2102202320 is about 1281.0266665422.

Adding to 2102202320 its reverse (232022012), we get a palindrome (2334224332).

The spelling of 2102202320 in words is "two billion, one hundred two million, two hundred two thousand, three hundred twenty".