2256365520 has 180 divisors, whose sum is σ = 7998361956. Its totient is φ = 569963520.

The previous prime is 2256365453. The next prime is 2256365543. The reversal of 2256365520 is 255636522.

2256365520 is a `hidden beast` number, since 22 + 56 + 3 + 65 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1364268096 + 892097424 = 36936^2 + 29868^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255580 + ... + 264260.

Almost surely, 2^2256365520 is an apocalyptic number.

2256365520 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 2256365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999180978).

2256365520 is an abundant number, since it is smaller than the sum of its proper divisors (5741996436).

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

2256365520 is a wasteful number, since it uses less digits than its factorization.

2256365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8710 counting only the distinct ones).

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

The square root of 2256365520 is about 47501.2159844356. The cubic root of 2256365520 is about 1311.6052655701.

The spelling of 2256365520 in words is "two billion, two hundred fifty-six million, three hundred sixty-five thousand, five hundred twenty".