2265314688 has 480 divisors, whose sum is σ = 8470067760. Its totient is φ = 597445632.

The previous prime is 2265314683. The next prime is 2265314699. The reversal of 2265314688 is 8864135622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265314683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174254970 + ... + 174254982.

Almost surely, 2^2265314688 is an apocalyptic number.

2265314688 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 2265314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235033880).

2265314688 is an abundant number, since it is smaller than the sum of its proper divisors (6204753072).

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

2265314688 is an frugal number, since it uses more digits than its factorization.

2265314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2265314688 is about 47595.3221230826. The cubic root of 2265314688 is about 1313.3370021170.

The spelling of 2265314688 in words is "two billion, two hundred sixty-five million, three hundred fourteen thousand, six hundred eighty-eight".