1997977200 has 120 divisors (see below), whose sum is σ = 6415113216. Its totient is φ = 531552000.

The previous prime is 1997977193. The next prime is 1997977213. The reversal of 1997977200 is 27797991.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 587505 + ... + 590895.

Almost surely, 2^1997977200 is an apocalyptic number.

1997977200 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 1997977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207556608).

1997977200 is an abundant number, since it is smaller than the sum of its proper divisors (4417136016).

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

1997977200 is a wasteful number, since it uses less digits than its factorization.

1997977200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 51.

The square root of 1997977200 is about 44698.7382372254. The cubic root of 1997977200 is about 1259.4961452298.

It can be divided in two parts, 19979 and 77200, that added together give a palindrome (97179).

The spelling of 1997977200 in words is "one billion, nine hundred ninety-seven million, nine hundred seventy-seven thousand, two hundred".