30534954240 has 288 divisors, whose sum is σ = 112205592576. Its totient is φ = 6932275200.

The previous prime is 30534954239. The next prime is 30534954251. The reversal of 30534954240 is 4245943503.

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 31 ways as a sum of consecutive naturals, for example, 4055119 + ... + 4062641.

It is an arithmetic number, because the mean of its divisors is an integer number (389602752).

Almost surely, 2^30534954240 is an apocalyptic number.

30534954240 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 30534954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56102796288).

30534954240 is an abundant number, since it is smaller than the sum of its proper divisors (81670638336).

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

30534954240 is a wasteful number, since it uses less digits than its factorization.

30534954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 30534954240 in words is "thirty billion, five hundred thirty-four million, nine hundred fifty-four thousand, two hundred forty".