2265261440 has 64 divisors (see below), whose sum is σ = 5831980560. Its totient is φ = 836401152.

The previous prime is 2265261389. The next prime is 2265261443. The reversal of 2265261440 is 441625622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2265261397 and 2265261406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265261443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127814 + ... + 144453.

Almost surely, 2^2265261440 is an apocalyptic number.

2265261440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265261440 is an abundant number, since it is smaller than the sum of its proper divisors (3566719120).

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

2265261440 is a wasteful number, since it uses less digits than its factorization.

2265261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272299 (or 272287 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2265261440 is about 47594.7627370911. The cubic root of 2265261440 is about 1313.3267116973.

The spelling of 2265261440 in words is "two billion, two hundred sixty-five million, two hundred sixty-one thousand, four hundred forty".