2185638144 has 72 divisors (see below), whose sum is σ = 5877154080. Its totient is φ = 721010688.

The previous prime is 2185638139. The next prime is 2185638163. The reversal of 2185638144 is 4418365812.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2185638096 and 2185638105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59827 + ... + 89165.

It is an arithmetic number, because the mean of its divisors is an integer number (81627140).

Almost surely, 2^2185638144 is an apocalyptic number.

2185638144 is a gapful number since it is divisible by the number (24) 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 2185638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938577040).

2185638144 is an abundant number, since it is smaller than the sum of its proper divisors (3691515936).

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

2185638144 is an equidigital number, since it uses as much as digits as its factorization.

2185638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29455 (or 29441 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 2185638144 is about 46750.8090197378. The cubic root of 2185638144 is about 1297.7551284942.

The spelling of 2185638144 in words is "two billion, one hundred eighty-five million, six hundred thirty-eight thousand, one hundred forty-four".