2123773200 has 180 divisors, whose sum is σ = 7397305188. Its totient is φ = 564249600.

The previous prime is 2123773199. The next prime is 2123773219. The reversal of 2123773200 is 23773212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1074790656 + 1048982544 = 32784^2 + 32388^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1140270 + ... + 1142130.

Almost surely, 2^2123773200 is an apocalyptic number.

2123773200 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 2123773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698652594).

2123773200 is an abundant number, since it is smaller than the sum of its proper divisors (5273531988).

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

2123773200 is a wasteful number, since it uses less digits than its factorization.

2123773200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2123773200 is about 46084.4138511059. The cubic root of 2123773200 is about 1285.3933399966.

The spelling of 2123773200 in words is "two billion, one hundred twenty-three million, seven hundred seventy-three thousand, two hundred".