2125443600 has 270 divisors, whose sum is σ = 8580817050. Its totient is φ = 485775360.

The previous prime is 2125443599. The next prime is 2125443623. The reversal of 2125443600 is 63445212.

2125443600 is a `hidden beast` number, since 2 + 1 + 2 + 54 + 4 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 246741264 + 1878702336 = 15708^2 + 43344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 170376 + ... + 182424.

Almost surely, 2^2125443600 is an apocalyptic number.

2125443600 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 2125443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290408525).

2125443600 is an abundant number, since it is smaller than the sum of its proper divisors (6455373450).

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

2125443600 is a wasteful number, since it uses less digits than its factorization.

2125443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2125443600 is about 46102.5335529405. The cubic root of 2125443600 is about 1285.7302495372.

Adding to 2125443600 its reverse (63445212), we get a palindrome (2188888812).

The spelling of 2125443600 in words is "two billion, one hundred twenty-five million, four hundred forty-three thousand, six hundred".