30234561000 has 256 divisors, whose sum is σ = 108129116160. Its totient is φ = 6890169600.

The previous prime is 30234560999. The next prime is 30234561029. The reversal of 30234561000 is 16543203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7705039 + ... + 7708961.

It is an arithmetic number, because the mean of its divisors is an integer number (422379360).

Almost surely, 2^30234561000 is an apocalyptic number.

30234561000 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 30234561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54064558080).

30234561000 is an abundant number, since it is smaller than the sum of its proper divisors (77894555160).

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

30234561000 is a wasteful number, since it uses less digits than its factorization.

30234561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 30234561000 in words is "thirty billion, two hundred thirty-four million, five hundred sixty-one thousand".