2182165440 has 224 divisors, whose sum is σ = 8527572480. Its totient is φ = 460394496.

The previous prime is 2182165417. The next prime is 2182165459. The reversal of 2182165440 is 445612812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74871 + ... + 99849.

It is an arithmetic number, because the mean of its divisors is an integer number (38069520).

Almost surely, 2^2182165440 is an apocalyptic number.

2182165440 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 2182165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263786240).

2182165440 is an abundant number, since it is smaller than the sum of its proper divisors (6345407040).

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

2182165440 is a wasteful number, since it uses less digits than its factorization.

2182165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25019 (or 25009 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2182165440 is about 46713.6536785553. The cubic root of 2182165440 is about 1297.0674409467.

The spelling of 2182165440 in words is "two billion, one hundred eighty-two million, one hundred sixty-five thousand, four hundred forty".