30082541340 has 192 divisors, whose sum is σ = 89079782400. Its totient is φ = 7570354176.

The previous prime is 30082541339. The next prime is 30082541347. The reversal of 30082541340 is 4314528003.

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 = 30082541298 and 30082541307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30082541347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59101006 + ... + 59101514.

It is an arithmetic number, because the mean of its divisors is an integer number (463957200).

Almost surely, 2^30082541340 is an apocalyptic number.

30082541340 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 30082541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539891200).

30082541340 is an abundant number, since it is smaller than the sum of its proper divisors (58997241060).

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

30082541340 is a wasteful number, since it uses less digits than its factorization.

30082541340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 30082541340 in words is "thirty billion, eighty-two million, five hundred forty-one thousand, three hundred forty".