2082208200 has 192 divisors, whose sum is σ = 6610023360. Its totient is φ = 542085120.

The previous prime is 2082208181. The next prime is 2082208231. The reversal of 2082208200 is 28022802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6000427 + ... + 6000773.

It is an arithmetic number, because the mean of its divisors is an integer number (34427205).

Almost surely, 2^2082208200 is an apocalyptic number.

2082208200 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 2082208200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305011680).

2082208200 is an abundant number, since it is smaller than the sum of its proper divisors (4527815160).

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

2082208200 is a wasteful number, since it uses less digits than its factorization.

2082208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2082208200 is about 45631.2195760753. The cubic root of 2082208200 is about 1276.9524258434.

It can be divided in two parts, 2082 and 208200, that multiplied together give a square (433472400 = 20820²).

The spelling of 2082208200 in words is "two billion, eighty-two million, two hundred eight thousand, two hundred".