2565823360 has 64 divisors (see below), whose sum is σ = 6153757920. Its totient is φ = 1023010816.

The previous prime is 2565823321. The next prime is 2565823369. The reversal of 2565823360 is 633285652.

2565823360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565823369) 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, 196557 + ... + 209203.

Almost surely, 2^2565823360 is an apocalyptic number.

2565823360 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 2565823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076878960).

2565823360 is an abundant number, since it is smaller than the sum of its proper divisors (3587934560).

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

2565823360 is a wasteful number, since it uses less digits than its factorization.

2565823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12983 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 2565823360 is about 50653.9570023902. The cubic root of 2565823360 is about 1369.0172432320.

The spelling of 2565823360 in words is "two billion, five hundred sixty-five million, eight hundred twenty-three thousand, three hundred sixty".