30906982080 has 840 divisors, whose sum is σ = 123501259728. Its totient is φ = 7291772928.

The previous prime is 30906982069. The next prime is 30906982103. The reversal of 30906982080 is 8028960903.

It is a super-2 number, since 2×30906982080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 461298207 + ... + 461298273.

Almost surely, 2^30906982080 is an apocalyptic number.

30906982080 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 30906982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61750629864).

30906982080 is an abundant number, since it is smaller than the sum of its proper divisors (92594277648).

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

30906982080 is a wasteful number, since it uses less digits than its factorization.

30906982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30906982080 in words is "thirty billion, nine hundred six million, nine hundred eighty-two thousand, eighty".