2265996096 has 336 divisors, whose sum is σ = 8467490304. Its totient is φ = 562249728.

The previous prime is 2265996091. The next prime is 2265996121. The reversal of 2265996096 is 6906995622.

2265996096 is a `hidden beast` number, since 2 + 26 + 5 + 9 + 9 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265996091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889801 + ... + 892343.

It is an arithmetic number, because the mean of its divisors is an integer number (25200864).

Almost surely, 2^2265996096 is an apocalyptic number.

2265996096 is a gapful number since it is divisible by the number (26) 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 2265996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233745152).

2265996096 is an abundant number, since it is smaller than the sum of its proper divisors (6201494208).

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

2265996096 is a wasteful number, since it uses less digits than its factorization.

2265996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 2265996096 is about 47602.4799353983. The cubic root of 2265996096 is about 1313.4686730984.

The spelling of 2265996096 in words is "two billion, two hundred sixty-five million, nine hundred ninety-six thousand, ninety-six".