1980091872 has 192 divisors, whose sum is σ = 6420798720. Its totient is φ = 588556800.

The previous prime is 1980091871. The next prime is 1980091901. The reversal of 1980091872 is 2781900891.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980091871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501747 + ... + 505677.

It is an arithmetic number, because the mean of its divisors is an integer number (33441660).

Almost surely, 2^1980091872 is an apocalyptic number.

1980091872 is a gapful number since it is divisible by the number (12) 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 1980091872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210399360).

1980091872 is an abundant number, since it is smaller than the sum of its proper divisors (4440706848).

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

1980091872 is a wasteful number, since it uses less digits than its factorization.

1980091872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1980091872 is about 44498.2232454286. The cubic root of 1980091872 is about 1255.7266569488.

The spelling of 1980091872 in words is "one billion, nine hundred eighty million, ninety-one thousand, eight hundred seventy-two".