230630682240 has 1024 divisors, whose sum is σ = 1040615424000. Its totient is φ = 46995406848.

The previous prime is 230630682169. The next prime is 230630682251. The reversal of 230630682240 is 42286036032.

230630682240 is a `hidden beast` number, since 2 + 30 + 6 + 306 + 82 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230630682195 and 230630682204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39067129 + ... + 39073031.

It is an arithmetic number, because the mean of its divisors is an integer number (1016226000).

Almost surely, 2^230630682240 is an apocalyptic number.

230630682240 is a gapful number since it is divisible by the number (20) 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 230630682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520307712000).

230630682240 is an abundant number, since it is smaller than the sum of its proper divisors (809984741760).

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

230630682240 is a wasteful number, since it uses less digits than its factorization.

230630682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 230630682240 in words is "two hundred thirty billion, six hundred thirty million, six hundred eighty-two thousand, two hundred forty".