1981013760 has 504 divisors, whose sum is σ = 7801449264. Its totient is φ = 477757440.

The previous prime is 1981013753. The next prime is 1981013789. The reversal of 1981013760 is 673101891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264224 + ... + 10264416.

It is an arithmetic number, because the mean of its divisors is an integer number (15479066).

Almost surely, 2^1981013760 is an apocalyptic number.

1981013760 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 1981013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900724632).

1981013760 is an abundant number, since it is smaller than the sum of its proper divisors (5820435504).

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

1981013760 is an equidigital number, since it uses as much as digits as its factorization.

1981013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1981013760 is about 44508.5807457394. The cubic root of 1981013760 is about 1255.9215064474.

The spelling of 1981013760 in words is "one billion, nine hundred eighty-one million, thirteen thousand, seven hundred sixty".