30540822240 has 192 divisors, whose sum is σ = 98729680896. Its totient is φ = 7931492352.

The previous prime is 30540822181. The next prime is 30540822253. The reversal of 30540822240 is 4222804503.

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 = 30540822198 and 30540822207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7696737 + ... + 7700703.

It is an arithmetic number, because the mean of its divisors is an integer number (514217088).

Almost surely, 2^30540822240 is an apocalyptic number.

30540822240 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 30540822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49364840448).

30540822240 is an abundant number, since it is smaller than the sum of its proper divisors (68188858656).

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

30540822240 is a wasteful number, since it uses less digits than its factorization.

30540822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 30540822240 in words is "thirty billion, five hundred forty million, eight hundred twenty-two thousand, two hundred forty".