30026242050240 has 448 divisors, whose sum is σ = 101078873280000. Its totient is φ = 7530710040576.

The previous prime is 30026242050209. The next prime is 30026242050241. The reversal of 30026242050240 is 4205024262003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30026242050198 and 30026242050207.

It is not an unprimeable number, because it can be changed into a prime (30026242050241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1756631134 + ... + 1756648226.

It is an arithmetic number, because the mean of its divisors is an integer number (225622485000).

Almost surely, 2^{30026242050240} is an apocalyptic number.

30026242050240 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 30026242050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50539436640000).

30026242050240 is an abundant number, since it is smaller than the sum of its proper divisors (71052631229760).

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

30026242050240 is a wasteful number, since it uses less digits than its factorization.

30026242050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17824 (or 17814 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 30026242050240 in words is "thirty trillion, twenty-six billion, two hundred forty-two million, fifty thousand, two hundred forty".