2265677568 has 648 divisors, whose sum is σ = 8707963264. Its totient is φ = 574801920.

The previous prime is 2265677543. The next prime is 2265677593. The reversal of 2265677568 is 8657765622.

2265677568 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 6 + 77 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (2265677543) and next prime (2265677593).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52690155 + ... + 52690197.

Almost surely, 2^2265677568 is an apocalyptic number.

2265677568 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 2265677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353981632).

2265677568 is an abundant number, since it is smaller than the sum of its proper divisors (6442285696).

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

2265677568 is an equidigital number, since it uses as much as digits as its factorization.

2265677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 2265677568 is about 47599.1341097714. The cubic root of 2265677568 is about 1313.4071260440.

The spelling of 2265677568 in words is "two billion, two hundred sixty-five million, six hundred seventy-seven thousand, five hundred sixty-eight".