1981195272 has 96 divisors (see below), whose sum is σ = 6158954880. Its totient is φ = 563592960.

The previous prime is 1981195247. The next prime is 1981195273. The reversal of 1981195272 is 2725911891.

1981195272 is a `hidden beast` number, since 1 + 9 + 8 + 119 + 527 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1981195273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108997 + ... + 125867.

It is an arithmetic number, because the mean of its divisors is an integer number (64155780).

Almost surely, 2^1981195272 is an apocalyptic number.

1981195272 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 1981195272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079477440).

1981195272 is an abundant number, since it is smaller than the sum of its proper divisors (4177759608).

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

1981195272 is a wasteful number, since it uses less digits than its factorization.

1981195272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17123 (or 17116 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1981195272 is about 44510.6197665231. The cubic root of 1981195272 is about 1255.9598635530.

The spelling of 1981195272 in words is "one billion, nine hundred eighty-one million, one hundred ninety-five thousand, two hundred seventy-two".