1980415872 has 128 divisors (see below), whose sum is σ = 5860512000. Its totient is φ = 658386432.

The previous prime is 1980415837. The next prime is 1980415883. The reversal of 1980415872 is 2785140891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2360029 + ... + 2360867.

It is an arithmetic number, because the mean of its divisors is an integer number (45785250).

Almost surely, 2^1980415872 is an apocalyptic number.

1980415872 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 1980415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

1980415872 is an abundant number, since it is smaller than the sum of its proper divisors (3880096128).

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

1980415872 is an equidigital number, since it uses as much as digits as its factorization.

1980415872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1980415872 is about 44501.8636913107. The cubic root of 1980415872 is about 1255.7951442167.

The spelling of 1980415872 in words is "one billion, nine hundred eighty million, four hundred fifteen thousand, eight hundred seventy-two".