2930768568 has 192 divisors, whose sum is σ = 10131663360. Its totient is φ = 772903296.

The previous prime is 2930768531. The next prime is 2930768569. The reversal of 2930768568 is 8658670392.

It is a happy number.

2930768568 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 76 + 8 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930768569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168621 + ... + 185187.

It is an arithmetic number, because the mean of its divisors is an integer number (52769080).

Almost surely, 2^2930768568 is an apocalyptic number.

2930768568 is a gapful number since it is divisible by the number (28) 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 2930768568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065831680).

2930768568 is an abundant number, since it is smaller than the sum of its proper divisors (7200894792).

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

2930768568 is a wasteful number, since it uses less digits than its factorization.

2930768568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608 (or 16592 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2930768568 is about 54136.5732938464. The cubic root of 2930768568 is about 1431.0687835297.

The spelling of 2930768568 in words is "two billion, nine hundred thirty million, seven hundred sixty-eight thousand, five hundred sixty-eight".