2183005440 has 864 divisors, whose sum is σ = 9917945856. Its totient is φ = 429834240.

The previous prime is 2183005427. The next prime is 2183005441. The reversal of 2183005440 is 445003812.

2183005440 is a `hidden beast` number, since 218 + 3 + 0 + 0 + 5 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2183005441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20401867 + ... + 20401973.

It is an arithmetic number, because the mean of its divisors is an integer number (11479104).

Almost surely, 2^2183005440 is an apocalyptic number.

2183005440 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 2183005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958972928).

2183005440 is an abundant number, since it is smaller than the sum of its proper divisors (7734940416).

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

2183005440 is a wasteful number, since it uses less digits than its factorization.

2183005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2183005440 is about 46722.6437608147. The cubic root of 2183005440 is about 1297.2338500952.

The spelling of 2183005440 in words is "two billion, one hundred eighty-three million, five thousand, four hundred forty".