30420234240 has 832 divisors, whose sum is σ = 117761679360. Its totient is φ = 6617825280.

The previous prime is 30420234239. The next prime is 30420234281. The reversal of 30420234240 is 4243202403.

It is a super-3 number, since 3×30420234240³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30420234240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295342029 + ... + 295342131.

It is an arithmetic number, because the mean of its divisors is an integer number (141540480).

Almost surely, 2^30420234240 is an apocalyptic number.

30420234240 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 30420234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58880839680).

30420234240 is an abundant number, since it is smaller than the sum of its proper divisors (87341445120).

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

30420234240 is a wasteful number, since it uses less digits than its factorization.

30420234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 30420234240 its reverse (4243202403), we get a palindrome (34663436643).

The spelling of 30420234240 in words is "thirty billion, four hundred twenty million, two hundred thirty-four thousand, two hundred forty".