2125578816 has 189 divisors, whose sum is σ = 6529838731. Its totient is φ = 660946944.

The previous prime is 2125578797. The next prime is 2125578817. The reversal of 2125578816 is 6188755212.

The square root of 2125578816 is 46104.

It is a perfect power (a square), and thus also a powerful number.

2125578816 is a `hidden beast` number, since 2 + 1 + 2 + 557 + 88 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259338816 + 1866240000 = 16104^2 + 43200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2125578817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18810376 + ... + 18810488.

Almost surely, 2^2125578816 is an apocalyptic number.

2125578816 is the 46104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125578816

2125578816 is an abundant number, since it is smaller than the sum of its proper divisors (4404259915).

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

2125578816 is a wasteful number, since it uses less digits than its factorization.

2125578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 135 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The cubic root of 2125578816 is about 1285.7575140598.

The spelling of 2125578816 in words is "two billion, one hundred twenty-five million, five hundred seventy-eight thousand, eight hundred sixteen".