2265777536 has 64 divisors (see below), whose sum is σ = 4963368960. Its totient is φ = 1021708800.

The previous prime is 2265777529. The next prime is 2265777557. The reversal of 2265777536 is 6357775622.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172481 + ... + 185151.

It is an arithmetic number, because the mean of its divisors is an integer number (77552640).

Almost surely, 2^2265777536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481684480).

2265777536 is an abundant number, since it is smaller than the sum of its proper divisors (2697591424).

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

2265777536 is a wasteful number, since it uses less digits than its factorization.

2265777536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12823 (or 12811 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 50.

The square root of 2265777536 is about 47600.1842013243. The cubic root of 2265777536 is about 1313.4264428192.

The spelling of 2265777536 in words is "two billion, two hundred sixty-five million, seven hundred seventy-seven thousand, five hundred thirty-six".