1982689000 has 64 divisors (see below), whose sum is σ = 4663985040. Its totient is φ = 788889600.

The previous prime is 1982688997. The next prime is 1982689001. The reversal of 1982689000 is 9862891.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20376196 + 1962312804 = 4514^2 + 44298^2 .

It is not an unprimeable number, because it can be changed into a prime (1982689001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187864 + ... + 198136.

Almost surely, 2^1982689000 is an apocalyptic number.

1982689000 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 1982689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331992520).

1982689000 is an abundant number, since it is smaller than the sum of its proper divisors (2681296040).

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

1982689000 is a wasteful number, since it uses less digits than its factorization.

1982689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10487 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 1982689000 is about 44527.3960613014. The cubic root of 1982689000 is about 1256.2754291363.

The spelling of 1982689000 in words is "one billion, nine hundred eighty-two million, six hundred eighty-nine thousand".