2200320010000 has 600 divisors, whose sum is σ = 6341776075800. Its totient is φ = 736985088000.

The previous prime is 2200320009941. The next prime is 2200320010033. The reversal of 2200320010000 is 100230022.

It can be written as a sum of positive squares in 20 ways, for example, as 2073150744336 + 127169265664 = 1439844^2 + 356608^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4900489776 + ... + 4900490224.

It is an arithmetic number, because the mean of its divisors is an integer number (10569626793).

Almost surely, 2^{2200320010000} is an apocalyptic number.

2200320010000 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 2200320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170888037900).

2200320010000 is an abundant number, since it is smaller than the sum of its proper divisors (4141456065800).

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

2200320010000 is a wasteful number, since it uses less digits than its factorization.

2200320010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 2200320010000 its reverse (100230022), we get a palindrome (2200420240022).

The spelling of 2200320010000 in words is "two trillion, two hundred billion, three hundred twenty million, ten thousand".