2265125688 has 256 divisors, whose sum is σ = 7499520000. Its totient is φ = 620006400.

The previous prime is 2265125669. The next prime is 2265125689. The reversal of 2265125688 is 8865215622.

It is a happy number.

2265125688 is a `hidden beast` number, since 2 + 2 + 6 + 512 + 56 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265125689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3781213 + ... + 3781811.

It is an arithmetic number, because the mean of its divisors is an integer number (29295000).

Almost surely, 2^2265125688 is an apocalyptic number.

2265125688 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 2265125688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760000).

2265125688 is an abundant number, since it is smaller than the sum of its proper divisors (5234394312).

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

2265125688 is a wasteful number, since it uses less digits than its factorization.

2265125688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 2265125688 is about 47593.3365924265. The cubic root of 2265125688 is about 1313.3004762724.

The spelling of 2265125688 in words is "two billion, two hundred sixty-five million, one hundred twenty-five thousand, six hundred eighty-eight".