30255834840 has 1024 divisors, whose sum is σ = 127401984000. Its totient is φ = 5556418560.

The previous prime is 30255834839. The next prime is 30255834841. The reversal of 30255834840 is 4843855203.

It is an interprime number because it is at equal distance from previous prime (30255834839) and next prime (30255834841).

It is a super-3 number, since 3×30255834840³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30255834792 and 30255834801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30255834841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 238234857 + ... + 238234983.

It is an arithmetic number, because the mean of its divisors is an integer number (124416000).

Almost surely, 2^30255834840 is an apocalyptic number.

30255834840 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 30255834840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63700992000).

30255834840 is an abundant number, since it is smaller than the sum of its proper divisors (97146149160).

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

30255834840 is a wasteful number, since it uses less digits than its factorization.

30255834840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 30255834840 in words is "thirty billion, two hundred fifty-five million, eight hundred thirty-four thousand, eight hundred forty".