30241486080 has 648 divisors, whose sum is σ = 117431393352. Its totient is φ = 7417184256.

The previous prime is 30241486049. The next prime is 30241486103. The reversal of 30241486080 is 8068414203.

30241486080 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 1 + 48 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 30159184896 = 9072^2 + 173664^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109174902 + ... + 109175178.

Almost surely, 2^30241486080 is an apocalyptic number.

30241486080 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 30241486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58715696676).

30241486080 is an abundant number, since it is smaller than the sum of its proper divisors (87189907272).

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

30241486080 is an frugal number, since it uses more digits than its factorization.

30241486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 30241486080 in words is "thirty billion, two hundred forty-one million, four hundred eighty-six thousand, eighty".