30164106240 has 704 divisors, whose sum is σ = 114605798400. Its totient is φ = 7506690048.

The previous prime is 30164106229. The next prime is 30164106251. The reversal of 30164106240 is 4260146103.

30164106240 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 410 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (30164106229) and next prime (30164106251).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 168514471 + ... + 168514649.

Almost surely, 2^30164106240 is an apocalyptic number.

30164106240 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 30164106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57302899200).

30164106240 is an abundant number, since it is smaller than the sum of its proper divisors (84441692160).

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

30164106240 is a wasteful number, since it uses less digits than its factorization.

30164106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30164106240 in words is "thirty billion, one hundred sixty-four million, one hundred six thousand, two hundred forty".