2413632 has 56 divisors (see below), whose sum is σ = 6884416. Its totient is φ = 741888.

The previous prime is 2413613. The next prime is 2413637. The reversal of 2413632 is 2363142.

It is a happy number.

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 = 2413599 and 2413608.

It is not an unprimeable number, because it can be changed into a prime (2413637) 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 7 ways as a sum of consecutive naturals, for example, 2013 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (122936).

2^2413632 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 2413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442208).

2413632 is an abundant number, since it is smaller than the sum of its proper divisors (4470784).

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

2413632 is a wasteful number, since it uses less digits than its factorization.

2413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2413632 is about 1553.5868176578. The cubic root of 2413632 is about 134.1396035242.

Adding to 2413632 its reverse (2363142), we get a palindrome (4776774).

The spelling of 2413632 in words is "two million, four hundred thirteen thousand, six hundred thirty-two".