240916052224 has 27 divisors (see below), whose sum is σ = 480906702577. Its totient is φ = 120454099456.

The previous prime is 240916052213. The next prime is 240916052239. The reversal of 240916052224 is 422250619042.

The square root of 240916052224 is 490832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179030534400 + 61885517824 = 423120^2 + 248768^2 .

It is a super-3 number, since 3×240916052224³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 7837974 + ... + 7868650.

Almost surely, 2^240916052224 is an apocalyptic number.

240916052224 is the 490832-nd square number.

It is an amenable number.

240916052224 is a deficient number, since it is larger than the sum of its proper divisors (239990650353).

240916052224 is an frugal number, since it uses more digits than its factorization.

240916052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61370 (or 30679 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 240916052224 in words is "two hundred forty billion, nine hundred sixteen million, fifty-two thousand, two hundred twenty-four".