2289792 has 64 divisors (see below), whose sum is σ = 6242400. Its totient is φ = 743424.

The previous prime is 2289779. The next prime is 2289803. The reversal of 2289792 is 2979822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2289792.

It is an unprimeable number.

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, 25684 + ... + 25772.

2^2289792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121200).

2289792 is an abundant number, since it is smaller than the sum of its proper divisors (3952608).

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

2289792 is an equidigital number, since it uses as much as digits as its factorization.

2289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 2289792 is about 1513.2058683471. The cubic root of 2289792 is about 131.8050381735.

It can be divided in two parts, 2289 and 792, that added together give a triangular number (3081 = T₇₈).

The spelling of 2289792 in words is "two million, two hundred eighty-nine thousand, seven hundred ninety-two".