2575123200 has 648 divisors, whose sum is σ = 10494345680. Its totient is φ = 597196800.

The previous prime is 2575123157. The next prime is 2575123207. The reversal of 2575123200 is 23215752.

It is not an unprimeable number, because it can be changed into a prime (2575123207) 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 71 ways as a sum of consecutive naturals, for example, 14227110 + ... + 14227290.

Almost surely, 2^2575123200 is an apocalyptic number.

2575123200 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 2575123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247172840).

2575123200 is an abundant number, since it is smaller than the sum of its proper divisors (7919222480).

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

2575123200 is a wasteful number, since it uses less digits than its factorization.

2575123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2575123200 is about 50745.6717366122. The cubic root of 2575123200 is about 1370.6692522842.

Adding to 2575123200 its reverse (23215752), we get a palindrome (2598338952).

The spelling of 2575123200 in words is "two billion, five hundred seventy-five million, one hundred twenty-three thousand, two hundred".