2083897200 has 480 divisors, whose sum is σ = 8768010240. Its totient is φ = 409881600.

The previous prime is 2083897199. The next prime is 2083897217. The reversal of 2083897200 is 27983802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755007 + ... + 1756193.

It is an arithmetic number, because the mean of its divisors is an integer number (18266688).

Almost surely, 2^2083897200 is an apocalyptic number.

2083897200 is a gapful number since it is divisible by the number (20) 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 2083897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384005120).

2083897200 is an abundant number, since it is smaller than the sum of its proper divisors (6684113040).

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

2083897200 is a wasteful number, since it uses less digits than its factorization.

2083897200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2083897200 is about 45649.7228907252. The cubic root of 2083897200 is about 1277.2976026207.

The spelling of 2083897200 in words is "two billion, eighty-three million, eight hundred ninety-seven thousand, two hundred".