2185068400 has 120 divisors (see below), whose sum is σ = 5579642880. Its totient is φ = 819982080.

The previous prime is 2185068383. The next prime is 2185068407. The reversal of 2185068400 is 48605812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185068407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811857 + ... + 814543.

It is an arithmetic number, because the mean of its divisors is an integer number (46497024).

Almost surely, 2^2185068400 is an apocalyptic number.

2185068400 is a gapful number since it is divisible by the number (20) 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 2185068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789821440).

2185068400 is an abundant number, since it is smaller than the sum of its proper divisors (3394574480).

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

2185068400 is a wasteful number, since it uses less digits than its factorization.

2185068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2185068400 is about 46744.7152093154. The cubic root of 2185068400 is about 1297.6423540388.

The spelling of 2185068400 in words is "two billion, one hundred eighty-five million, sixty-eight thousand, four hundred".