2102205210 has 128 divisors (see below), whose sum is σ = 6139183104. Its totient is φ = 449725440.

The previous prime is 2102205191. The next prime is 2102205233. The reversal of 2102205210 is 125022012.

It is a super-2 number, since 2×2102205210² = 8838533489902288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102205210.

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 63 ways as a sum of consecutive naturals, for example, 680329 + ... + 683411.

It is an arithmetic number, because the mean of its divisors is an integer number (47962368).

Almost surely, 2^2102205210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102205210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069591552).

2102205210 is an abundant number, since it is smaller than the sum of its proper divisors (4036977894).

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

2102205210 is a wasteful number, since it uses less digits than its factorization.

2102205210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2102205210 is about 45849.8114499940. The cubic root of 2102205210 is about 1281.0272535719.

Adding to 2102205210 its reverse (125022012), we get a palindrome (2227227222).

The spelling of 2102205210 in words is "two billion, one hundred two million, two hundred five thousand, two hundred ten".