2265260382 has 192 divisors, whose sum is σ = 6325862400. Its totient is φ = 568814400.

The previous prime is 2265260381. The next prime is 2265260399. The reversal of 2265260382 is 2830625622.

2265260382 is a `hidden beast` number, since 226 + 52 + 6 + 0 + 382 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265260381) 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 95 ways as a sum of consecutive naturals, for example, 11383119 + ... + 11383317.

It is an arithmetic number, because the mean of its divisors is an integer number (32947200).

Almost surely, 2^2265260382 is an apocalyptic number.

2265260382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265260382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162931200).

2265260382 is an abundant number, since it is smaller than the sum of its proper divisors (4060602018).

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

2265260382 is a wasteful number, since it uses less digits than its factorization.

2265260382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2265260382 is about 47594.7516224216. The cubic root of 2265260382 is about 1313.3265072323.

The spelling of 2265260382 in words is "two billion, two hundred sixty-five million, two hundred sixty thousand, three hundred eighty-two".