2250595728 has 120 divisors (see below), whose sum is σ = 6683110200. Its totient is φ = 704581632.

The previous prime is 2250595723. The next prime is 2250595729. The reversal of 2250595728 is 8275950522.

2250595728 is a `hidden beast` number, since 2 + 2 + 50 + 595 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137170944 + 2113424784 = 11712^2 + 45972^2 .

It is a super-2 number, since 2×2250595728² = 10130362261783699968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2250595723) 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 23 ways as a sum of consecutive naturals, for example, 2028838 + ... + 2029946.

It is an arithmetic number, because the mean of its divisors is an integer number (55692585).

Almost surely, 2^2250595728 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 2250595728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341555100).

2250595728 is an abundant number, since it is smaller than the sum of its proper divisors (4432514472).

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

2250595728 is a wasteful number, since it uses less digits than its factorization.

2250595728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2250595728 is about 47440.4440114129. Note that the first 3 decimals coincide. The cubic root of 2250595728 is about 1310.4863349756.

The spelling of 2250595728 in words is "two billion, two hundred fifty million, five hundred ninety-five thousand, seven hundred twenty-eight".