2185364688 has 320 divisors, whose sum is σ = 6884559360. Its totient is φ = 593928192.

The previous prime is 2185364681. The next prime is 2185364689. The reversal of 2185364688 is 8864635812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2185364688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185364681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41233270 + ... + 41233322.

It is an arithmetic number, because the mean of its divisors is an integer number (21514248).

Almost surely, 2^2185364688 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 2185364688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442279680).

2185364688 is an abundant number, since it is smaller than the sum of its proper divisors (4699194672).

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

2185364688 is a wasteful number, since it uses less digits than its factorization.

2185364688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 2185364688 is about 46747.8843157634. The cubic root of 2185364688 is about 1297.7010033822.

The spelling of 2185364688 in words is "two billion, one hundred eighty-five million, three hundred sixty-four thousand, six hundred eighty-eight".