1824704442 has 96 divisors (see below), whose sum is σ = 4504550400. Its totient is φ = 547050240.

The previous prime is 1824704417. The next prime is 1824704509. The reversal of 1824704442 is 2444074281.

1824704442 is a `hidden beast` number, since 182 + 470 + 4 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1824704397 and 1824704406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632359 + ... + 635237.

It is an arithmetic number, because the mean of its divisors is an integer number (46922400).

Almost surely, 2^1824704442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1824704442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252275200).

1824704442 is an abundant number, since it is smaller than the sum of its proper divisors (2679845958).

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

1824704442 is a wasteful number, since it uses less digits than its factorization.

1824704442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 1824704442 is about 42716.5593417822. The cubic root of 1824704442 is about 1221.9802209015.

It can be divided in two parts, 1824 and 704442, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 1824704442 in words is "one billion, eight hundred twenty-four million, seven hundred four thousand, four hundred forty-two".