2200313002000 has 320 divisors, whose sum is σ = 5481374258880. Its totient is φ = 853991424000.

The previous prime is 2200313001977. The next prime is 2200313002049. The reversal of 2200313002000 is 2003130022.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 1932233442304 + 268079559696 = 1390048^2 + 517764^2 .

It is a super-3 number, since 3×2200313002000³ (a number of 38 digits) contains 333 as substring.

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, 4067121730 + ... + 4067122270.

It is an arithmetic number, because the mean of its divisors is an integer number (17129294559).

Almost surely, 2^{2200313002000} is an apocalyptic number.

2200313002000 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 2200313002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740687129440).

2200313002000 is an abundant number, since it is smaller than the sum of its proper divisors (3281061256880).

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

2200313002000 is a wasteful number, since it uses less digits than its factorization.

2200313002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2200313002000 its reverse (2003130022), we get a palindrome (2202316132022).

The spelling of 2200313002000 in words is "two trillion, two hundred billion, three hundred thirteen million, two thousand".