1982891900 has 144 divisors (see below), whose sum is σ = 5021678592. Its totient is φ = 671616000.

The previous prime is 1982891899. The next prime is 1982891909. The reversal of 1982891900 is 91982891.

It is a super-2 number, since 2×1982891900² = 7863720574171220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982891909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2000405 + ... + 2001395.

It is an arithmetic number, because the mean of its divisors is an integer number (34872768).

Almost surely, 2^1982891900 is an apocalyptic number.

1982891900 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 1982891900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510839296).

1982891900 is an abundant number, since it is smaller than the sum of its proper divisors (3038786692).

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

1982891900 is a wasteful number, since it uses less digits than its factorization.

1982891900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 47.

The square root of 1982891900 is about 44529.6743756341. The cubic root of 1982891900 is about 1256.3182816446.

The spelling of 1982891900 in words is "one billion, nine hundred eighty-two million, eight hundred ninety-one thousand, nine hundred".