2442336 has 96 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 705024.

The previous prime is 2442311. The next prime is 2442353. The reversal of 2442336 is 6332442.

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 (24).

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

It is a congruent number.

It is an unprimeable number.

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, 23661 + ... + 23763.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

2^2442336 is an apocalyptic number.

2442336 is a gapful number since it is divisible by the number (26) 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 2442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2442336 is an abundant number, since it is smaller than the sum of its proper divisors (4895904).

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

2442336 is a wasteful number, since it uses less digits than its factorization.

2442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2442336 is about 1562.7974916796. The cubic root of 2442336 is about 134.6692589552.

Adding to 2442336 its reverse (6332442), we get a palindrome (8774778).

It can be divided in two parts, 24 and 42336, that multiplied together give a square (1016064 = 1008²).

The spelling of 2442336 in words is "two million, four hundred forty-two thousand, three hundred thirty-six".