30209915232 has 288 divisors, whose sum is σ = 100457570304. Its totient is φ = 8433331200.

The previous prime is 30209915221. The next prime is 30209915233. The reversal of 30209915232 is 23251990203.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30209915232² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (30209915233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20536257 + ... + 20537727.

It is an arithmetic number, because the mean of its divisors is an integer number (348811008).

Almost surely, 2^30209915232 is an apocalyptic number.

30209915232 is a gapful number since it is divisible by the number (32) 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 30209915232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50228785152).

30209915232 is an abundant number, since it is smaller than the sum of its proper divisors (70247655072).

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

30209915232 is a wasteful number, since it uses less digits than its factorization.

30209915232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 30209915232 in words is "thirty billion, two hundred nine million, nine hundred fifteen thousand, two hundred thirty-two".