2265819500 has 192 divisors, whose sum is σ = 6059079936. Its totient is φ = 722534400.

The previous prime is 2265819499. The next prime is 2265819529. The reversal of 2265819500 is 59185622.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6723332 + ... + 6723668.

It is an arithmetic number, because the mean of its divisors is an integer number (31557708).

Almost surely, 2^2265819500 is an apocalyptic number.

2265819500 is a gapful number since it is divisible by the number (20) 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 2265819500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029539968).

2265819500 is an abundant number, since it is smaller than the sum of its proper divisors (3793260436).

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

2265819500 is a wasteful number, since it uses less digits than its factorization.

2265819500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 2265819500 is about 47600.6249958969. The cubic root of 2265819500 is about 1313.4345513362.

The spelling of 2265819500 in words is "two billion, two hundred sixty-five million, eight hundred nineteen thousand, five hundred".