2202010000 has 100 divisors (see below), whose sum is σ = 5645327292. Its totient is φ = 828928000.

The previous prime is 2202009989. The next prime is 2202010039. The reversal of 2202010000 is 102022.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1847968144 + 354041856 = 42988^2 + 18816^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163524 + ... + 176476.

Almost surely, 2^2202010000 is an apocalyptic number.

2202010000 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 2202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822663646).

2202010000 is an abundant number, since it is smaller than the sum of its proper divisors (3443317292).

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

2202010000 is a wasteful number, since it uses less digits than its factorization.

2202010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2202010000 is about 46925.5793784158. The cubic root of 2202010000 is about 1300.9874154988.

Adding to 2202010000 its reverse (102022), we get a palindrome (2202112022).

The spelling of 2202010000 in words is "two billion, two hundred two million, ten thousand".