2273600 has 126 divisors (see below), whose sum is σ = 6732270. Its totient is φ = 752640.

The previous prime is 2273599. The next prime is 2273603. The reversal of 2273600 is 63722.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 2119936 = 392^2 + 1456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273603) 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 17 ways as a sum of consecutive naturals, for example, 78386 + ... + 78414.

2^2273600 is an apocalyptic number.

2273600 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 2273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366135).

2273600 is an abundant number, since it is smaller than the sum of its proper divisors (4458670).

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

2273600 is a wasteful number, since it uses less digits than its factorization.

2273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2273600 is about 1507.8461459977. The cubic root of 2273600 is about 131.4936215925.

The spelling of 2273600 in words is "two million, two hundred seventy-three thousand, six hundred".