1980205056 has 288 divisors, whose sum is σ = 6224662080. Its totient is φ = 627720192.

The previous prime is 1980205009. The next prime is 1980205063. The reversal of 1980205056 is 6505020891.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 1980205056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11446186 + ... + 11446358.

It is an arithmetic number, because the mean of its divisors is an integer number (21613410).

Almost surely, 2^1980205056 is an apocalyptic number.

1980205056 is a gapful number since it is divisible by the number (16) 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 1980205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112331040).

1980205056 is an abundant number, since it is smaller than the sum of its proper divisors (4244457024).

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

1980205056 is an equidigital number, since it uses as much as digits as its factorization.

1980205056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1980205056 is about 44499.4950083706. The cubic root of 1980205056 is about 1255.7505826834.

The spelling of 1980205056 in words is "one billion, nine hundred eighty million, two hundred five thousand, fifty-six".