2623265568 has 576 divisors, whose sum is σ = 10011133440. Its totient is φ = 660441600.

The previous prime is 2623265551. The next prime is 2623265569. The reversal of 2623265568 is 8655623262.

2623265568 is a `hidden beast` number, since 2 + 6 + 23 + 2 + 65 + 568 = 666.

2623265568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2623265569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20024863 + ... + 20024993.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 2^2623265568 is an apocalyptic number.

2623265568 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 2623265568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005566720).

2623265568 is an abundant number, since it is smaller than the sum of its proper divisors (7387867872).

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

2623265568 is a wasteful number, since it uses less digits than its factorization.

2623265568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2623265568 is about 51217.8247097629. The cubic root of 2623265568 is about 1379.1582011636.

The spelling of 2623265568 in words is "two billion, six hundred twenty-three million, two hundred sixty-five thousand, five hundred sixty-eight".