2200034144 has 144 divisors (see below), whose sum is σ = 5530427280. Its totient is φ = 851880960.

The previous prime is 2200034101. The next prime is 2200034159. The reversal of 2200034144 is 4414300022.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3949514 + ... + 3950070.

It is an arithmetic number, because the mean of its divisors is an integer number (38405745).

Almost surely, 2^2200034144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765213640).

2200034144 is an abundant number, since it is smaller than the sum of its proper divisors (3330393136).

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

2200034144 is a wasteful number, since it uses less digits than its factorization.

2200034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2200034144 is about 46904.5215730850. The cubic root of 2200034144 is about 1300.5981752097.

Adding to 2200034144 its reverse (4414300022), we get a palindrome (6614334166).

The spelling of 2200034144 in words is "two billion, two hundred million, thirty-four thousand, one hundred forty-four".