2182256640 has 288 divisors, whose sum is σ = 7852375440. Its totient is φ = 581271552.

The previous prime is 2182256603. The next prime is 2182256651. The reversal of 2182256640 is 466522812.

It is a happy number.

2182256640 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 2 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2182256595 and 2182256604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487882 + ... + 2488758.

Almost surely, 2^2182256640 is an apocalyptic number.

2182256640 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 2182256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926187720).

2182256640 is an abundant number, since it is smaller than the sum of its proper divisors (5670118800).

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

2182256640 is an frugal number, since it uses more digits than its factorization.

2182256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2182256640 is about 46714.6298283525. The cubic root of 2182256640 is about 1297.0855102920.

The spelling of 2182256640 in words is "two billion, one hundred eighty-two million, two hundred fifty-six thousand, six hundred forty".