2265563520 has 640 divisors, whose sum is σ = 9197258400. Its totient is φ = 526417920.

The previous prime is 2265563519. The next prime is 2265563533. The reversal of 2265563520 is 253655622.

2265563520 is a `hidden beast` number, since 2 + 26 + 55 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16536892 + ... + 16537028.

Almost surely, 2^2265563520 is an apocalyptic number.

2265563520 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 2265563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598629200).

2265563520 is an abundant number, since it is smaller than the sum of its proper divisors (6931694880).

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

2265563520 is a wasteful number, since it uses less digits than its factorization.

2265563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2265563520 is about 47597.9360897088. The cubic root of 2265563520 is about 1313.3850879024.

The spelling of 2265563520 in words is "two billion, two hundred sixty-five million, five hundred sixty-three thousand, five hundred twenty".