2261120 has 32 divisors (see below), whose sum is σ = 5407020. Its totient is φ = 904192.

The previous prime is 2261117. The next prime is 2261131. The reversal of 2261120 is 211622.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 23104 = 1496^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2261120² = 10225327308800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261095 and 2261104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1127 + ... + 2406.

2^2261120 is an apocalyptic number.

2261120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261120 is an abundant number, since it is smaller than the sum of its proper divisors (3145900).

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

2261120 is an equidigital number, since it uses as much as digits as its factorization.

2261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2261120 is about 1503.7020981564. The cubic root of 2261120 is about 131.2525864948.

Adding to 2261120 its reverse (211622), we get a palindrome (2472742).

The spelling of 2261120 in words is "two million, two hundred sixty-one thousand, one hundred twenty".