2210000202000 has 240 divisors, whose sum is σ = 7720244466480. Its totient is φ = 589222656000.

The previous prime is 2210000201953. The next prime is 2210000202041. The reversal of 2210000202000 is 2020000122.

It can be written as a sum of positive squares in 8 ways, for example, as 524500402176 + 1685499799824 = 724224^2 + 1298268^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149914630 + ... + 149929370.

It is an arithmetic number, because the mean of its divisors is an integer number (32167685277).

Almost surely, 2^{2210000202000} is an apocalyptic number.

2210000202000 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 2210000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860122233240).

2210000202000 is an abundant number, since it is smaller than the sum of its proper divisors (5510244264480).

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

2210000202000 is a wasteful number, since it uses less digits than its factorization.

2210000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23099 (or 23080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2210000202000 its reverse (2020000122), we get a palindrome (2212020202122).

The spelling of 2210000202000 in words is "two trillion, two hundred ten billion, two hundred two thousand".