1997881200 has 600 divisors, whose sum is σ = 8573165568. Its totient is φ = 435663360.

The previous prime is 1997881189. The next prime is 1997881219. The reversal of 1997881200 is 21887991.

1997881200 = 7886² + 7887² + ... + 7917².

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5216209 + ... + 5216591.

Almost surely, 2^1997881200 is an apocalyptic number.

1997881200 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 1997881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286582784).

1997881200 is an abundant number, since it is smaller than the sum of its proper divisors (6575284368).

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

1997881200 is a wasteful number, since it uses less digits than its factorization.

1997881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1997881200 is about 44697.6643685104. The cubic root of 1997881200 is about 1259.4759725661.

The spelling of 1997881200 in words is "one billion, nine hundred ninety-seven million, eight hundred eighty-one thousand, two hundred".