240231824 has 80 divisors (see below), whose sum is σ = 565440000. Its totient is φ = 96671232.

The previous prime is 240231781. The next prime is 240231863. The reversal of 240231824 is 428132042.

It is a super-2 number, since 2×240231824² = 115422658524733952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240231793 and 240231802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119177 + ... + 121175.

It is an arithmetic number, because the mean of its divisors is an integer number (7068000).

Almost surely, 2^240231824 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 240231824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720000).

240231824 is an abundant number, since it is smaller than the sum of its proper divisors (325208176).

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

240231824 is a wasteful number, since it uses less digits than its factorization.

240231824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 240231824 is about 15499.4136663294. The cubic root of 240231824 is about 621.6465287636.

Adding to 240231824 its reverse (428132042), we get a palindrome (668363866).

The spelling of 240231824 in words is "two hundred forty million, two hundred thirty-one thousand, eight hundred twenty-four".