240034020030 has 192 divisors, whose sum is σ = 745955023680. Its totient is φ = 54764736768.

The previous prime is 240034020011. The next prime is 240034020071. The reversal of 240034020030 is 30020430042.

240034020030 is a `hidden beast` number, since 2 + 400 + 34 + 0 + 200 + 30 = 666.

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 = 240034019985 and 240034020012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7352824 + ... + 7385396.

It is an arithmetic number, because the mean of its divisors is an integer number (3885182415).

Almost surely, 2^240034020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240034020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372977511840).

240034020030 is an abundant number, since it is smaller than the sum of its proper divisors (505921003650).

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

240034020030 is a wasteful number, since it uses less digits than its factorization.

240034020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33160 (or 33147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 240034020030 its reverse (30020430042), we get a palindrome (270054450072).

The spelling of 240034020030 in words is "two hundred forty billion, thirty-four million, twenty thousand, thirty".