1982445675 has 120 divisors (see below), whose sum is σ = 3896975280. Its totient is φ = 889056000.

The previous prime is 1982445659. The next prime is 1982445677. The reversal of 1982445675 is 5765442891.

It is not a de Polignac number, because 1982445675 - 2⁴ = 1982445659 is a prime.

Its product of digits (2419200) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (1982445677) 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 119 ways as a sum of consecutive naturals, for example, 18187521 + ... + 18187629.

It is an arithmetic number, because the mean of its divisors is an integer number (32474794).

Almost surely, 2^1982445675 is an apocalyptic number.

1982445675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1982445675 is a deficient number, since it is larger than the sum of its proper divisors (1914529605).

1982445675 is a wasteful number, since it uses less digits than its factorization.

1982445675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 1982445675 is about 44524.6636708241. The cubic root of 1982445675 is about 1256.2240350070.

The spelling of 1982445675 in words is "one billion, nine hundred eighty-two million, four hundred forty-five thousand, six hundred seventy-five".