2125569888 has 288 divisors, whose sum is σ = 6807501792. Its totient is φ = 624844800.

The previous prime is 2125569883. The next prime is 2125569893. The reversal of 2125569888 is 8889655212.

It is a happy number.

2125569888 is a `hidden beast` number, since 2 + 1 + 2 + 556 + 9 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2125569883) and next prime (2125569893).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125569883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9363631 + ... + 9363857.

It is an arithmetic number, because the mean of its divisors is an integer number (23637159).

Almost surely, 2^2125569888 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 2125569888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403750896).

2125569888 is an abundant number, since it is smaller than the sum of its proper divisors (4681931904).

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

2125569888 is a wasteful number, since it uses less digits than its factorization.

2125569888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 2125569888 is about 46103.9031753278. The cubic root of 2125569888 is about 1285.7557138820.

The spelling of 2125569888 in words is "two billion, one hundred twenty-five million, five hundred sixty-nine thousand, eight hundred eighty-eight".