240402024 has 192 divisors, whose sum is σ = 717050880. Its totient is φ = 72576000.

The previous prime is 240402013. The next prime is 240402059. The reversal of 240402024 is 420204042.

240402024 is a `hidden beast` number, since 240 + 402 + 0 + 24 = 666.

240402024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240401988 and 240402006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385909 + ... + 3385979.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^240402024 is an apocalyptic number.

240402024 is a gapful number since it is divisible by the number (24) 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 240402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

240402024 is an abundant number, since it is smaller than the sum of its proper divisors (476648856).

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

240402024 is a wasteful number, since it uses less digits than its factorization.

240402024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 240402024 is about 15504.9032244642. The cubic root of 240402024 is about 621.7933026318.

Adding to 240402024 its reverse (420204042), we get a palindrome (660606066).

The spelling of 240402024 in words is "two hundred forty million, four hundred two thousand, twenty-four".