30870666240 has 176 divisors, whose sum is σ = 103032027648. Its totient is φ = 7874166784.

The previous prime is 30870666223. The next prime is 30870666241. The reversal of 30870666240 is 4266607803.

It is a junction number, because it is equal to n+sod(n) for n = 30870666192 and 30870666201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30870666241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309589 + ... + 396971.

It is an arithmetic number, because the mean of its divisors is an integer number (585409248).

Almost surely, 2^30870666240 is an apocalyptic number.

30870666240 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 30870666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51516013824).

30870666240 is an abundant number, since it is smaller than the sum of its proper divisors (72161361408).

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

30870666240 is a wasteful number, since it uses less digits than its factorization.

30870666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87434 (or 87416 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 30870666240 in words is "thirty billion, eight hundred seventy million, six hundred sixty-six thousand, two hundred forty".