30104364240 has 240 divisors, whose sum is σ = 102344074560. Its totient is φ = 7929722880.

The previous prime is 30104364233. The next prime is 30104364247. The reversal of 30104364240 is 4246340103.

30104364240 is a `hidden beast` number, since 3 + 0 + 10 + 4 + 3 + 642 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30104364233) and next prime (30104364247).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×30104364240³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30104364247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23317995 + ... + 23319285.

It is an arithmetic number, because the mean of its divisors is an integer number (426433644).

Almost surely, 2^30104364240 is an apocalyptic number.

30104364240 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 30104364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51172037280).

30104364240 is an abundant number, since it is smaller than the sum of its proper divisors (72239710320).

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

30104364240 is a wasteful number, since it uses less digits than its factorization.

30104364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 30104364240 in words is "thirty billion, one hundred four million, three hundred sixty-four thousand, two hundred forty".