1982197200 has 120 divisors (see below), whose sum is σ = 6375904416. Its totient is φ = 526400000.

The previous prime is 1982197177. The next prime is 1982197253. The reversal of 1982197200 is 27912891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 297910 + ... + 304490.

Almost surely, 2^1982197200 is an apocalyptic number.

1982197200 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 1982197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187952208).

1982197200 is an abundant number, since it is smaller than the sum of its proper divisors (4393707216).

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

1982197200 is a wasteful number, since it uses less digits than its factorization.

1982197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 1982197200 is about 44521.8732759528. The cubic root of 1982197200 is about 1256.1715487753.

The spelling of 1982197200 in words is "one billion, nine hundred eighty-two million, one hundred ninety-seven thousand, two hundred".