2265384960 has 288 divisors, whose sum is σ = 8033800320. Its totient is φ = 590118912.

The previous prime is 2265384917. The next prime is 2265384973. The reversal of 2265384960 is 694835622.

2265384960 is a `hidden beast` number, since 2 + 26 + 538 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4331259 + ... + 4331781.

It is an arithmetic number, because the mean of its divisors is an integer number (27895140).

Almost surely, 2^2265384960 is an apocalyptic number.

2265384960 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 2265384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016900160).

2265384960 is an abundant number, since it is smaller than the sum of its proper divisors (5768415360).

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

2265384960 is a wasteful number, since it uses less digits than its factorization.

2265384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2265384960 is about 47596.0603411669. The cubic root of 2265384960 is about 1313.3505822558.

The spelling of 2265384960 in words is "two billion, two hundred sixty-five million, three hundred eighty-four thousand, nine hundred sixty".