2232560 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 779520.

The previous prime is 2232551. The next prime is 2232569. The reversal of 2232560 is 652322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2232551) and next prime (2232569).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2232560³ = 33383408197083648000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232569) 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, 37811 + ... + 37869.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^2232560 is an apocalyptic number.

2232560 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 2232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2232560 is an abundant number, since it is smaller than the sum of its proper divisors (3659920).

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

2232560 is a wasteful number, since it uses less digits than its factorization.

2232560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2232560 is about 1494.1753578479. The cubic root of 2232560 is about 130.6976302205.

2232560 divided by its sum of digits (20) gives a triangular number (111628 = T₄₇₂).

Adding to 2232560 its reverse (652322), we get a palindrome (2884882).

The spelling of 2232560 in words is "two million, two hundred thirty-two thousand, five hundred sixty".