2252547200 has 72 divisors (see below), whose sum is σ = 5571135705. Its totient is φ = 899944960.

The previous prime is 2252547149. The next prime is 2252547221. The reversal of 2252547200 is 27452522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2207496256 + 45050944 = 46984^2 + 6712^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33560.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2684381 + ... + 2685219.

Almost surely, 2^2252547200 is an apocalyptic number.

2252547200 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 2252547200

2252547200 is an abundant number, since it is smaller than the sum of its proper divisors (3318588505).

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

2252547200 is an frugal number, since it uses more digits than its factorization.

2252547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 2252547200 is about 47461.0071532411. The cubic root of 2252547200 is about 1310.8649959901.

Adding to 2252547200 its reverse (27452522), we get a palindrome (2279999722).

The spelling of 2252547200 in words is "two billion, two hundred fifty-two million, five hundred forty-seven thousand, two hundred".