2265819192 has 288 divisors, whose sum is σ = 7768051200. Its totient is φ = 591349248.

The previous prime is 2265819139. The next prime is 2265819239. The reversal of 2265819192 is 2919185622.

It is a happy number.

It is a super-2 number, since 2×2265819192² = 10267873221671065728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5824534 + ... + 5824922.

It is an arithmetic number, because the mean of its divisors is an integer number (26972400).

Almost surely, 2^2265819192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265819192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884025600).

2265819192 is an abundant number, since it is smaller than the sum of its proper divisors (5502232008).

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

2265819192 is a wasteful number, since it uses less digits than its factorization.

2265819192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2265819192 is about 47600.6217606451. The cubic root of 2265819192 is about 1313.4344918231.

The spelling of 2265819192 in words is "two billion, two hundred sixty-five million, eight hundred nineteen thousand, one hundred ninety-two".