2200133440 has 56 divisors (see below), whose sum is σ = 5258193192. Its totient is φ = 876840960.

The previous prime is 2200133437. The next prime is 2200133449. The reversal of 2200133440 is 443310022.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 2190988864 = 3024^2 + 46808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200133449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76230 + ... + 101050.

It is an arithmetic number, because the mean of its divisors is an integer number (93896307).

Almost surely, 2^2200133440 is an apocalyptic number.

2200133440 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 2200133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629096596).

2200133440 is an abundant number, since it is smaller than the sum of its proper divisors (3058059752).

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

2200133440 is a wasteful number, since it uses less digits than its factorization.

2200133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115 (or 25105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2200133440 is about 46905.5800518446. The cubic root of 2200133440 is about 1300.6177419141.

Adding to 2200133440 its reverse (443310022), we get a palindrome (2643443462).

The spelling of 2200133440 in words is "two billion, two hundred million, one hundred thirty-three thousand, four hundred forty".