2116510830 has 256 divisors, whose sum is σ = 6793113600. Its totient is φ = 458472960.

The previous prime is 2116510819. The next prime is 2116510841. The reversal of 2116510830 is 380156112.

2116510830 is a `hidden beast` number, since 2 + 1 + 1 + 651 + 0 + 8 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2116510819) and next prime (2116510841).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2116510794 and 2116510803.

It is a congruent number.

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, 7867936 + ... + 7868204.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^2116510830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116510830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

2116510830 is an abundant number, since it is smaller than the sum of its proper divisors (4676602770).

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

2116510830 is a wasteful number, since it uses less digits than its factorization.

2116510830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2116510830 is about 46005.5521649290. The cubic root of 2116510830 is about 1283.9265068425.

Adding to 2116510830 its reverse (380156112), we get a palindrome (2496666942).

The spelling of 2116510830 in words is "two billion, one hundred sixteen million, five hundred ten thousand, eight hundred thirty".