2261200 has 30 divisors (see below), whose sum is σ = 5433494. Its totient is φ = 904320.

The previous prime is 2261197. The next prime is 2261213. The reversal of 2261200 is 21622.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 345744 + 1915456 = 588^2 + 1384^2 .

It is a super-2 number, since 2×2261200² = 10226050880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2427 + ... + 3226.

2^2261200 is an apocalyptic number.

2261200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261200 is an abundant number, since it is smaller than the sum of its proper divisors (3172294).

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

2261200 is a wasteful number, since it uses less digits than its factorization.

2261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2261200 is about 1503.7286989348. The cubic root of 2261200 is about 131.2541344125.

Adding to 2261200 its reverse (21622), we get a palindrome (2282822).

The spelling of 2261200 in words is "two million, two hundred sixty-one thousand, two hundred".