2819232 has 96 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 864000.

The previous prime is 2819231. The next prime is 2819269. The reversal of 2819232 is 2329182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 2819196 and 2819205.

It is not an unprimeable number, because it can be changed into a prime (2819231) 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 15 ways as a sum of consecutive naturals, for example, 11107 + ... + 11357.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

2^2819232 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 2819232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

2819232 is an abundant number, since it is smaller than the sum of its proper divisors (6071328).

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

2819232 is a wasteful number, since it uses less digits than its factorization.

2819232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2819232 is about 1679.0568781313. The cubic root of 2819232 is about 141.2679377851.

It can be divided in two parts, 28192 and 32, that added together give a square (28224 = 168²).

The spelling of 2819232 in words is "two million, eight hundred nineteen thousand, two hundred thirty-two".