30588042240 has 1584 divisors, whose sum is σ = 139790776320. Its totient is φ = 6131220480.

The previous prime is 30588042239. The next prime is 30588042253. The reversal of 30588042240 is 4224088503.

30588042240 is a `hidden beast` number, since 30 + 588 + 0 + 4 + 2 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30588042195 and 30588042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 986711025 + ... + 986711055.

Almost surely, 2^30588042240 is an apocalyptic number.

30588042240 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 30588042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69895388160).

30588042240 is an abundant number, since it is smaller than the sum of its proper divisors (109202734080).

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

30588042240 is a wasteful number, since it uses less digits than its factorization.

30588042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 30588042240 in words is "thirty billion, five hundred eighty-eight million, forty-two thousand, two hundred forty".