2265871608 has 384 divisors, whose sum is σ = 8334144000. Its totient is φ = 537062400.

The previous prime is 2265871603. The next prime is 2265871609. The reversal of 2265871608 is 8061785622.

2265871608 is a `hidden beast` number, since 2 + 2 + 6 + 587 + 1 + 60 + 8 = 666.

2265871608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265871603) 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, 10738623 + ... + 10738833.

It is an arithmetic number, because the mean of its divisors is an integer number (21703500).

Almost surely, 2^2265871608 is an apocalyptic number.

2265871608 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 2265871608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167072000).

2265871608 is an abundant number, since it is smaller than the sum of its proper divisors (6068272392).

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

2265871608 is a wasteful number, since it uses less digits than its factorization.

2265871608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2265871608 is about 47601.1723385044. The cubic root of 2265871608 is about 1313.4446197938. Note that the first 3 decimals are identical.

The spelling of 2265871608 in words is "two billion, two hundred sixty-five million, eight hundred seventy-one thousand, six hundred eight".