1981271880 has 384 divisors, whose sum is σ = 7953552000. Its totient is φ = 436907520.

The previous prime is 1981271869. The next prime is 1981271881. The reversal of 1981271880 is 881721891.

It is a happy number.

It is a super-3 number, since 3×1981271880³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981271881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534035 + ... + 1535325.

It is an arithmetic number, because the mean of its divisors is an integer number (20712375).

Almost surely, 2^1981271880 is an apocalyptic number.

1981271880 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 1981271880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976776000).

1981271880 is an abundant number, since it is smaller than the sum of its proper divisors (5972280120).

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

1981271880 is a wasteful number, since it uses less digits than its factorization.

1981271880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 1981271880 is about 44511.4803168800. The cubic root of 1981271880 is about 1255.9760516483.

The spelling of 1981271880 in words is "one billion, nine hundred eighty-one million, two hundred seventy-one thousand, eight hundred eighty".