2182980240 has 320 divisors, whose sum is σ = 8638732800. Its totient is φ = 496336896.

The previous prime is 2182980211. The next prime is 2182980257. The reversal of 2182980240 is 420892812.

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 = 2182980195 and 2182980204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5337156 + ... + 5337564.

It is an arithmetic number, because the mean of its divisors is an integer number (26996040).

Almost surely, 2^2182980240 is an apocalyptic number.

2182980240 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 2182980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319366400).

2182980240 is an abundant number, since it is smaller than the sum of its proper divisors (6455752560).

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

2182980240 is a wasteful number, since it uses less digits than its factorization.

2182980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2182980240 is about 46722.3740835159. The cubic root of 2182980240 is about 1297.2288584419.

The spelling of 2182980240 in words is "two billion, one hundred eighty-two million, nine hundred eighty thousand, two hundred forty".