2265111440 has 20 divisors (see below), whose sum is σ = 5266384284. Its totient is φ = 906044544.

The previous prime is 2265111397. The next prime is 2265111487. The reversal of 2265111440 is 441115622.

It can be written as a sum of positive squares in 2 ways, for example, as 570636544 + 1694474896 = 23888^2 + 41164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 14156867 + ... + 14157026.

Almost surely, 2^2265111440 is an apocalyptic number.

2265111440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265111440 is an abundant number, since it is smaller than the sum of its proper divisors (3001272844).

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

2265111440 is a wasteful number, since it uses less digits than its factorization.

2265111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28313906 (or 28313900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2265111440 is about 47593.1869073715. The cubic root of 2265111440 is about 1313.2977226438.

The spelling of 2265111440 in words is "two billion, two hundred sixty-five million, one hundred eleven thousand, four hundred forty".