2261920 has 48 divisors (see below), whose sum is σ = 5449248. Its totient is φ = 887040.

The previous prime is 2261911. The next prime is 2261927. The reversal of 2261920 is 291622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2261891 and 2261900.

It is not an unprimeable number, because it can be changed into a prime (2261927) 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 7 ways as a sum of consecutive naturals, for example, 10615 + ... + 10825.

It is an arithmetic number, because the mean of its divisors is an integer number (113526).

2^2261920 is an apocalyptic number.

2261920 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 2261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724624).

2261920 is an abundant number, since it is smaller than the sum of its proper divisors (3187328).

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

2261920 is a wasteful number, since it uses less digits than its factorization.

2261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2261920 is about 1503.9680847678. The cubic root of 2261920 is about 131.2680640292.

The spelling of 2261920 in words is "two million, two hundred sixty-one thousand, nine hundred twenty".