2083200 has 192 divisors, whose sum is σ = 8094720. Its totient is φ = 460800.

The previous prime is 2083199. The next prime is 2083219. The reversal of 2083200 is 23802.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2083200.

It is a congruent number.

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, 67185 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (42160).

2^2083200 is an apocalyptic number.

2083200 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 2083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047360).

2083200 is an abundant number, since it is smaller than the sum of its proper divisors (6011520).

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

2083200 is a wasteful number, since it uses less digits than its factorization.

2083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2083200 is about 1443.3294842135. The cubic root of 2083200 is about 127.7155140184.

The spelling of 2083200 in words is "two million, eighty-three thousand, two hundred".