2288832 has 112 divisors (see below), whose sum is σ = 7510272. Its totient is φ = 599040.

The previous prime is 2288831. The next prime is 2288833. The reversal of 2288832 is 2388822.

It is an interprime number because it is at equal distance from previous prime (2288831) and next prime (2288833).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2288793 and 2288802.

It is not an unprimeable number, because it can be changed into a prime (2288831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17407 + ... + 17537.

It is an arithmetic number, because the mean of its divisors is an integer number (67056).

2^2288832 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 2288832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755136).

2288832 is an abundant number, since it is smaller than the sum of its proper divisors (5221440).

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

2288832 is a wasteful number, since it uses less digits than its factorization.

2288832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2288832 is about 1512.8886277582. Note that the first 3 decimals coincide. The cubic root of 2288832 is about 131.7866157544.

The spelling of 2288832 in words is "two million, two hundred eighty-eight thousand, eight hundred thirty-two".