2125782144 has 80 divisors (see below), whose sum is σ = 6326324070. Its totient is φ = 708590592.

The previous prime is 2125782143. The next prime is 2125782151. The reversal of 2125782144 is 4412875212.

2125782144 is a `hidden beast` number, since 21 + 2 + 578 + 21 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1189422144 + 936360000 = 34488^2 + 30600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2125782099 and 2125782108.

It is not an unprimeable number, because it can be changed into a prime (2125782143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92149 + ... + 112884.

Almost surely, 2^2125782144 is an apocalyptic number.

2125782144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2125782144 is an abundant number, since it is smaller than the sum of its proper divisors (4200541926).

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

2125782144 is an equidigital number, since it uses as much as digits as its factorization.

2125782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205059 (or 205038 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2125782144 is about 46106.2050487784. The cubic root of 2125782144 is about 1285.7985102920.

The spelling of 2125782144 in words is "two billion, one hundred twenty-five million, seven hundred eighty-two thousand, one hundred forty-four".