30132342240 has 1728 divisors, whose sum is σ = 142240831488. Its totient is φ = 5264179200.

The previous prime is 30132342197. The next prime is 30132342293. The reversal of 30132342240 is 4224323103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30132342240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 972011025 + ... + 972011055.

It is an arithmetic number, because the mean of its divisors is an integer number (82315296).

Almost surely, 2^30132342240 is an apocalyptic number.

30132342240 is a gapful number since it is divisible by the number (30) 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 30132342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71120415744).

30132342240 is an abundant number, since it is smaller than the sum of its proper divisors (112108489248).

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

30132342240 is a wasteful number, since it uses less digits than its factorization.

30132342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30132342240 its reverse (4224323103), we get a palindrome (34356665343).

The spelling of 30132342240 in words is "thirty billion, one hundred thirty-two million, three hundred forty-two thousand, two hundred forty".