2252527200 has 864 divisors, whose sum is σ = 10529326080. Its totient is φ = 438681600.

The previous prime is 2252527171. The next prime is 2252527213. The reversal of 2252527200 is 27252522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9424681 + ... + 9424919.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^2252527200 is an apocalyptic number.

2252527200 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 2252527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

2252527200 is an abundant number, since it is smaller than the sum of its proper divisors (8276798880).

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

2252527200 is a wasteful number, since it uses less digits than its factorization.

2252527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2252527200 is about 47460.7964534941. The cubic root of 2252527200 is about 1310.8611163263.

Adding to 2252527200 its reverse (27252522), we get a palindrome (2279779722).

The spelling of 2252527200 in words is "two billion, two hundred fifty-two million, five hundred twenty-seven thousand, two hundred".