2261300 has 18 divisors (see below), whose sum is σ = 4907238. Its totient is φ = 904480.

The previous prime is 2261297. The next prime is 2261309. The reversal of 2261300 is 31622.

It can be written as a sum of positive squares in 3 ways, for example, as 106276 + 2155024 = 326^2 + 1468^2 .

It is a super-2 number, since 2×2261300² = 10226955380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261309) 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 5 ways as a sum of consecutive naturals, for example, 11207 + ... + 11406.

2^2261300 is an apocalyptic number.

2261300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261300 is an abundant number, since it is smaller than the sum of its proper divisors (2645938).

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

2261300 is a wasteful number, since it uses less digits than its factorization.

2261300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22627 (or 22620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2261300 is about 1503.7619492460. The cubic root of 2261300 is about 131.2560692583.

Adding to 2261300 its reverse (31622), we get a palindrome (2292922).

The spelling of 2261300 in words is "two million, two hundred sixty-one thousand, three hundred".