1980129920 has 64 divisors (see below), whose sum is σ = 4743930240. Its totient is φ = 790348800.

The previous prime is 1980129917. The next prime is 1980129923. The reversal of 1980129920 is 299210891.

It is an interprime number because it is at equal distance from previous prime (1980129917) and next prime (1980129923).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1980129923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 318845 + ... + 324995.

It is an arithmetic number, because the mean of its divisors is an integer number (74123910).

Almost surely, 2^1980129920 is an apocalyptic number.

1980129920 is a gapful number since it is divisible by the number (10) 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 1980129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371965120).

1980129920 is an abundant number, since it is smaller than the sum of its proper divisors (2763800320).

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

1980129920 is an equidigital number, since it uses as much as digits as its factorization.

1980129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 1980129920 is about 44498.6507660626. The cubic root of 1980129920 is about 1255.7346999395.

The spelling of 1980129920 in words is "one billion, nine hundred eighty million, one hundred twenty-nine thousand, nine hundred twenty".