2265789560 has 64 divisors (see below), whose sum is σ = 5274460800. Its totient is φ = 875392000.

The previous prime is 2265789557. The next prime is 2265789611. The reversal of 2265789560 is 659875622.

It is a junction number, because it is equal to n+sod(n) for n = 2265789499 and 2265789508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158801 + ... + 172479.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 2^2265789560 is an apocalyptic number.

2265789560 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 2265789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637230400).

2265789560 is an abundant number, since it is smaller than the sum of its proper divisors (3008671240).

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

2265789560 is a wasteful number, since it uses less digits than its factorization.

2265789560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13832 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 2265789560 is about 47600.3105031889. The cubic root of 2265789560 is about 1313.4287661734.

The spelling of 2265789560 in words is "two billion, two hundred sixty-five million, seven hundred eighty-nine thousand, five hundred sixty".