2251205200 has 60 divisors (see below), whose sum is σ = 5419636380. Its totient is φ = 898631680.

The previous prime is 2251205191. The next prime is 2251205221. The reversal of 2251205200 is 25021522.

It can be written as a sum of positive squares in 6 ways, for example, as 44836416 + 2206368784 = 6696^2 + 46972^2 .

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 11 ways as a sum of consecutive naturals, for example, 198072 + ... + 209128.

It is an arithmetic number, because the mean of its divisors is an integer number (90327273).

Almost surely, 2^2251205200 is an apocalyptic number.

2251205200 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 2251205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709818190).

2251205200 is an abundant number, since it is smaller than the sum of its proper divisors (3168431180).

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

2251205200 is a wasteful number, since it uses less digits than its factorization.

2251205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2251205200 is about 47446.8671252381. The cubic root of 2251205200 is about 1310.6046196043.

Adding to 2251205200 its reverse (25021522), we get a palindrome (2276226722).

The spelling of 2251205200 in words is "two billion, two hundred fifty-one million, two hundred five thousand, two hundred".