30840082560 has 1344 divisors, whose sum is σ = 137261563200. Its totient is φ = 6584094720.

The previous prime is 30840082547. The next prime is 30840082561. The reversal of 30840082560 is 6528004803.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×30840082560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30840082561) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 434367325 + ... + 434367395.

Almost surely, 2^30840082560 is an apocalyptic number.

30840082560 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 30840082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68630781600).

30840082560 is an abundant number, since it is smaller than the sum of its proper divisors (106421480640).

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

30840082560 is an equidigital number, since it uses as much as digits as its factorization.

30840082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 30840082560 in words is "thirty billion, eight hundred forty million, eighty-two thousand, five hundred sixty".