1981779360 has 192 divisors, whose sum is σ = 7106641920. Its totient is φ = 459514880.

The previous prime is 1981779353. The next prime is 1981779427. The reversal of 1981779360 is 639771891.

1981779360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113281 + ... + 129599.

It is an arithmetic number, because the mean of its divisors is an integer number (37013760).

Almost surely, 2^1981779360 is an apocalyptic number.

1981779360 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 1981779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553320960).

1981779360 is an abundant number, since it is smaller than the sum of its proper divisors (5124862560).

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

1981779360 is a wasteful number, since it uses less digits than its factorization.

1981779360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16371 (or 16363 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 1981779360 is about 44517.1805037111. The cubic root of 1981779360 is about 1256.0832770997.

The spelling of 1981779360 in words is "one billion, nine hundred eighty-one million, seven hundred seventy-nine thousand, three hundred sixty".