30249922560 has 624 divisors, whose sum is σ = 114936374112. Its totient is φ = 6747586560.

The previous prime is 30249922523. The next prime is 30249922583. The reversal of 30249922560 is 6522994203.

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96644964 + ... + 96645276.

Almost surely, 2^30249922560 is an apocalyptic number.

30249922560 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 30249922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57468187056).

30249922560 is an abundant number, since it is smaller than the sum of its proper divisors (84686451552).

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

30249922560 is a wasteful number, since it uses less digits than its factorization.

30249922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 30249922560 in words is "thirty billion, two hundred forty-nine million, nine hundred twenty-two thousand, five hundred sixty".