2250067600 has 90 divisors (see below), whose sum is σ = 5942026370. Its totient is φ = 818188800.

The previous prime is 2250067559. The next prime is 2250067607. The reversal of 2250067600 is 67600522.

It can be written as a sum of positive squares in 3 ways, for example, as 91164304 + 2158903296 = 9548^2 + 46464^2 .

It is not an unprimeable number, because it can be changed into a prime (2250067607) 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 17 ways as a sum of consecutive naturals, for example, 25156 + ... + 71644.

Almost surely, 2^2250067600 is an apocalyptic number.

2250067600 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 2250067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971013185).

2250067600 is an abundant number, since it is smaller than the sum of its proper divisors (3691958770).

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

2250067600 is a wasteful number, since it uses less digits than its factorization.

2250067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46529 (or 46507 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2250067600 is about 47434.8774637397. The cubic root of 2250067600 is about 1310.3838200929.

It can be divided in two parts, 22500 and 67600, that multiplied together give a square (1521000000 = 39000²).

The spelling of 2250067600 in words is "two billion, two hundred fifty million, sixty-seven thousand, six hundred".