30079146240 has 1296 divisors, whose sum is σ = 132985419840. Its totient is φ = 6171033600.

The previous prime is 30079146211. The next prime is 30079146269. The reversal of 30079146240 is 4264197003.

30079146240 is a `hidden beast` number, since 300 + 79 + 1 + 46 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (30079146211) and next prime (30079146269).

It is a super-2 number, since 2×30079146240² (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 a junction number, because it is equal to n+sod(n) for n = 30079146195 and 30079146204.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 970295025 + ... + 970295055.

Almost surely, 2^30079146240 is an apocalyptic number.

30079146240 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 30079146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66492709920).

30079146240 is an abundant number, since it is smaller than the sum of its proper divisors (102906273600).

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

30079146240 is a wasteful number, since it uses less digits than its factorization.

30079146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30079146240 in words is "thirty billion, seventy-nine million, one hundred forty-six thousand, two hundred forty".