2320830624 has 192 divisors, whose sum is σ = 7383785472. Its totient is φ = 624153600.

The previous prime is 2320830607. The next prime is 2320830641. The reversal of 2320830624 is 4260380232.

It is a Cunningham number, because it is equal to 48175²-1.

It is an interprime number because it is at equal distance from previous prime (2320830607) and next prime (2320830641).

It is a junction number, because it is equal to n+sod(n) for n = 2320830591 and 2320830600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769279 + ... + 772289.

It is an arithmetic number, because the mean of its divisors is an integer number (38457216).

Almost surely, 2^2320830624 is an apocalyptic number.

2320830624 is a gapful number since it is divisible by the number (24) 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 2320830624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691892736).

2320830624 is an abundant number, since it is smaller than the sum of its proper divisors (5062954848).

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

2320830624 is a wasteful number, since it uses less digits than its factorization.

2320830624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2320830624 is about 48174.9999896212. Note that the first 4 decimals coincide. The cubic root of 2320830624 is about 1323.9791589226.

The spelling of 2320830624 in words is "two billion, three hundred twenty million, eight hundred thirty thousand, six hundred twenty-four".