1982249208 has 48 divisors (see below), whose sum is σ = 5383291680. Its totient is φ = 658940544.

The previous prime is 1982249201. The next prime is 1982249219. The reversal of 1982249208 is 8029422891.

It is a happy number.

It is a super-4 number, since 4×1982249208⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982249201) 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 11 ways as a sum of consecutive naturals, for example, 11085 + ... + 63932.

It is an arithmetic number, because the mean of its divisors is an integer number (112151910).

Almost surely, 2^1982249208 is an apocalyptic number.

1982249208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1982249208 is an abundant number, since it is smaller than the sum of its proper divisors (3401042472).

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

1982249208 is a wasteful number, since it uses less digits than its factorization.

1982249208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75396 (or 75389 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1982249208 is about 44522.4573445806. The cubic root of 1982249208 is about 1256.1825349676.

The spelling of 1982249208 in words is "one billion, nine hundred eighty-two million, two hundred forty-nine thousand, two hundred eight".