2642432 has 40 divisors (see below), whose sum is σ = 5700156. Its totient is φ = 1216512.

The previous prime is 2642389. The next prime is 2642449. The reversal of 2642432 is 2342462.

It can be written as a sum of positive squares in 2 ways, for example, as 2611456 + 30976 = 1616^2 + 176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2642398 and 2642407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6458 + ... + 6854.

2^2642432 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 2642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850078).

2642432 is an abundant number, since it is smaller than the sum of its proper divisors (3057724).

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

2642432 is an equidigital number, since it uses as much as digits as its factorization.

2642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 2642432 is about 1625.5559049138. Note that the first 3 decimals coincide. The cubic root of 2642432 is about 138.2508913458.

Adding to 2642432 its reverse (2342462), we get a palindrome (4984894).

The spelling of 2642432 in words is "two million, six hundred forty-two thousand, four hundred thirty-two".