2273382400 has 117 divisors (see below), whose sum is σ = 5675388271. Its totient is φ = 903249920.

The previous prime is 2273382361. The next prime is 2273382403. The reversal of 2273382400 is 42833722.

The square root of 2273382400 is 47680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 678498304 + 1594884096 = 26048^2 + 39936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2273382403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15257526 + ... + 15257674.

Almost surely, 2^2273382400 is an apocalyptic number.

2273382400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2273382400 is the 47680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273382400

2273382400 is an abundant number, since it is smaller than the sum of its proper divisors (3402005871).

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

2273382400 is an frugal number, since it uses more digits than its factorization.

2273382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The cubic root of 2273382400 is about 1314.8942649446.

The spelling of 2273382400 in words is "two billion, two hundred seventy-three million, three hundred eighty-two thousand, four hundred".