2265663582 has 256 divisors, whose sum is σ = 6502809600. Its totient is φ = 568736640.

The previous prime is 2265663581. The next prime is 2265663601. The reversal of 2265663582 is 2853665622.

2265663582 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 6 + 63 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265663581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16299669 + ... + 16299807.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2^2265663582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265663582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

2265663582 is an abundant number, since it is smaller than the sum of its proper divisors (4237146018).

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

2265663582 is a wasteful number, since it uses less digits than its factorization.

2265663582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

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

The square root of 2265663582 is about 47598.9871951074. The cubic root of 2265663582 is about 1313.4044234897.

The spelling of 2265663582 in words is "two billion, two hundred sixty-five million, six hundred sixty-three thousand, five hundred eighty-two".