2185071642 has 288 divisors, whose sum is σ = 5919713280. Its totient is φ = 578672640.

The previous prime is 2185071641. The next prime is 2185071653. The reversal of 2185071642 is 2461705812.

2185071642 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 0 + 7 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2185071597 and 2185071606.

It is not an unprimeable number, because it can be changed into a prime (2185071641) 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 143 ways as a sum of consecutive naturals, for example, 46490863 + ... + 46490909.

It is an arithmetic number, because the mean of its divisors is an integer number (20554560).

Almost surely, 2^2185071642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185071642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959856640).

2185071642 is an abundant number, since it is smaller than the sum of its proper divisors (3734641638).

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

2185071642 is a wasteful number, since it uses less digits than its factorization.

2185071642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2185071642 is about 46744.7498870194. The cubic root of 2185071642 is about 1297.6429958119.

The spelling of 2185071642 in words is "two billion, one hundred eighty-five million, seventy-one thousand, six hundred forty-two".