1981965480 has 128 divisors (see below), whose sum is σ = 6540566400. Its totient is φ = 480437760.

The previous prime is 1981965467. The next prime is 1981965481. The reversal of 1981965480 is 845691891.

It is not an unprimeable number, because it can be changed into a prime (1981965481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153516 + ... + 165924.

It is an arithmetic number, because the mean of its divisors is an integer number (51098175).

Almost surely, 2^1981965480 is an apocalyptic number.

1981965480 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 1981965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270283200).

1981965480 is an abundant number, since it is smaller than the sum of its proper divisors (4558600920).

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

1981965480 is a wasteful number, since it uses less digits than its factorization.

1981965480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 1981965480 is about 44519.2708835174. The cubic root of 1981965480 is about 1256.1225978074.

The spelling of 1981965480 in words is "one billion, nine hundred eighty-one million, nine hundred sixty-five thousand, four hundred eighty".