30298701600 has 216 divisors, whose sum is σ = 107005190292. Its totient is φ = 8067225600.

The previous prime is 30298701583. The next prime is 30298701623. The reversal of 30298701600 is 610789203.

It can be written as a sum of positive squares in 6 ways, for example, as 20395267344 + 9903434256 = 142812^2 + 99516^2 .

It is a super-2 number, since 2×30298701600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5274730 + ... + 5280470.

Almost surely, 2^30298701600 is an apocalyptic number.

30298701600 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 30298701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53502595146).

30298701600 is an abundant number, since it is smaller than the sum of its proper divisors (76706488692).

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

30298701600 is a wasteful number, since it uses less digits than its factorization.

30298701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30298701600 in words is "thirty billion, two hundred ninety-eight million, seven hundred one thousand, six hundred".