30480266234880 has 2816 divisors, whose sum is σ = 139419510128640. Its totient is φ = 6131220480000.

The previous prime is 30480266234857. The next prime is 30480266234881. The reversal of 30480266234880 is 8843266208403.

30480266234880 is a `hidden beast` number, since 3 + 0 + 4 + 8 + 0 + 2 + 6 + 623 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×30480266234880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30480266234881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92085396315 + ... + 92085396645.

Almost surely, 2^{30480266234880} is an apocalyptic number.

30480266234880 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 30480266234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69709755064320).

30480266234880 is an abundant number, since it is smaller than the sum of its proper divisors (108939243893760).

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

30480266234880 is a wasteful number, since it uses less digits than its factorization.

30480266234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 30480266234880 in words is "thirty trillion, four hundred eighty billion, two hundred sixty-six million, two hundred thirty-four thousand, eight hundred eighty".