30820770240 has 448 divisors, whose sum is σ = 107772403200. Its totient is φ = 7417184256.

The previous prime is 30820770187. The next prime is 30820770259. The reversal of 30820770240 is 4207702803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189084399 + ... + 189084561.

It is an arithmetic number, because the mean of its divisors is an integer number (240563400).

Almost surely, 2^30820770240 is an apocalyptic number.

30820770240 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 30820770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53886201600).

30820770240 is an abundant number, since it is smaller than the sum of its proper divisors (76951632960).

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

30820770240 is a wasteful number, since it uses less digits than its factorization.

30820770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 30820770240 in words is "thirty billion, eight hundred twenty million, seven hundred seventy thousand, two hundred forty".