1997275200 has 168 divisors, whose sum is σ = 6583923840. Its totient is φ = 530073600.

The previous prime is 1997275183. The next prime is 1997275213. The reversal of 1997275200 is 25727991.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146330 + ... + 1148070.

Almost surely, 2^1997275200 is an apocalyptic number.

1997275200 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 1997275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291961920).

1997275200 is an abundant number, since it is smaller than the sum of its proper divisors (4586648640).

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

1997275200 is a wasteful number, since it uses less digits than its factorization.

1997275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 1997275200 is about 44690.8849766930. The cubic root of 1997275200 is about 1259.3486177095.

The spelling of 1997275200 in words is "one billion, nine hundred ninety-seven million, two hundred seventy-five thousand, two hundred".