30105189840 has 320 divisors, whose sum is σ = 109024807680. Its totient is φ = 6790840320.

The previous prime is 30105189827. The next prime is 30105189847. The reversal of 30105189840 is 4898150103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30105189847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3990552 + ... + 3998088.

It is an arithmetic number, because the mean of its divisors is an integer number (340702524).

Almost surely, 2^30105189840 is an apocalyptic number.

30105189840 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 30105189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512403840).

30105189840 is an abundant number, since it is smaller than the sum of its proper divisors (78919617840).

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

30105189840 is a wasteful number, since it uses less digits than its factorization.

30105189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 30105189840 in words is "thirty billion, one hundred five million, one hundred eighty-nine thousand, eight hundred forty".