30142000240 has 240 divisors, whose sum is σ = 79349608800. Its totient is φ = 10635919360.

The previous prime is 30142000201. The next prime is 30142000241. The reversal of 30142000240 is 4200024103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142000241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50829384 + ... + 50829976.

It is an arithmetic number, because the mean of its divisors is an integer number (330623370).

Almost surely, 2^30142000240 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 30142000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674804400).

30142000240 is an abundant number, since it is smaller than the sum of its proper divisors (49207608560).

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

30142000240 is a wasteful number, since it uses less digits than its factorization.

30142000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30142000240 its reverse (4200024103), we get a palindrome (34342024343).

The spelling of 30142000240 in words is "thirty billion, one hundred forty-two million, two hundred forty", and thus it is an aban number.