1982936800 has 72 divisors (see below), whose sum is σ = 5213244456. Its totient is φ = 732157440.

The previous prime is 1982936779. The next prime is 1982936803. The reversal of 1982936800 is 86392891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982936803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84934 + ... + 105733.

It is an arithmetic number, because the mean of its divisors is an integer number (72406173).

Almost surely, 2^1982936800 is an apocalyptic number.

1982936800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982936800 is an abundant number, since it is smaller than the sum of its proper divisors (3230307656).

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

1982936800 is a wasteful number, since it uses less digits than its factorization.

1982936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190700 (or 190687 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 1982936800 is about 44530.1785309693. The cubic root of 1982936800 is about 1256.3277641358.

The spelling of 1982936800 in words is "one billion, nine hundred eighty-two million, nine hundred thirty-six thousand, eight hundred".