2255816520 has 64 divisors (see below), whose sum is σ = 7519392000. Its totient is φ = 601550784.

The previous prime is 2255816509. The next prime is 2255816527. The reversal of 2255816520 is 256185522.

It is a happy number.

2255816520 is a `hidden beast` number, since 2 + 2 + 55 + 81 + 6 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2255816527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043280 + ... + 1045439.

It is an arithmetic number, because the mean of its divisors is an integer number (117490500).

Almost surely, 2^2255816520 is an apocalyptic number.

2255816520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255816520 is an abundant number, since it is smaller than the sum of its proper divisors (5263575480).

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

2255816520 is a wasteful number, since it uses less digits than its factorization.

2255816520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088739 (or 2088729 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2255816520 is about 47495.4368334475. The cubic root of 2255816520 is about 1311.4988806644.

The spelling of 2255816520 in words is "two billion, two hundred fifty-five million, eight hundred sixteen thousand, five hundred twenty".