2442132 has 72 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 633600.

The previous prime is 2442113. The next prime is 2442133. The reversal of 2442132 is 2312442.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332 + ... + 3212.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

2^2442132 is an apocalyptic number.

2442132 is a gapful number since it is divisible by the number (22) 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 2442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2442132 is an abundant number, since it is smaller than the sum of its proper divisors (5263020).

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

2442132 is a wasteful number, since it uses less digits than its factorization.

2442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 904 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2442132 is about 1562.7322227432. The cubic root of 2442132 is about 134.6655093628.

Adding to 2442132 its reverse (2312442), we get a palindrome (4754574).

The spelling of 2442132 in words is "two million, four hundred forty-two thousand, one hundred thirty-two".