2655017568 has 576 divisors, whose sum is σ = 9902592000. Its totient is φ = 690923520.

The previous prime is 2655017567. The next prime is 2655017579. The reversal of 2655017568 is 8657105562.

2655017568 = 119³ + 120³ + ... + 322³.

2655017568 is a `hidden beast` number, since 26 + 5 + 50 + 17 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2655017567) 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, 85645713 + ... + 85645743.

It is an arithmetic number, because the mean of its divisors is an integer number (17192000).

Almost surely, 2^2655017568 is an apocalyptic number.

2655017568 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 2655017568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951296000).

2655017568 is an abundant number, since it is smaller than the sum of its proper divisors (7247574432).

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

2655017568 is a wasteful number, since it uses less digits than its factorization.

2655017568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2655017568 is about 51526.8625864219. The cubic root of 2655017568 is about 1384.7003427528.

The spelling of 2655017568 in words is "two billion, six hundred fifty-five million, seventeen thousand, five hundred sixty-eight".