2255662080 has 792 divisors, whose sum is σ = 9683423568. Its totient is φ = 501645312.

The previous prime is 2255662069. The next prime is 2255662081. The reversal of 2255662080 is 802665522.

2255662080 is a `hidden beast` number, since 2 + 2 + 556 + 6 + 20 + 80 = 666.

It is a super-2 number, since 2×2255662080² = 10176022838299852800, which contains 22 as substring.

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 (2255662081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60963822 + ... + 60963858.

Almost surely, 2^2255662080 is an apocalyptic number.

2255662080 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 2255662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841711784).

2255662080 is an abundant number, since it is smaller than the sum of its proper divisors (7427761488).

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

2255662080 is an equidigital number, since it uses as much as digits as its factorization.

2255662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2255662080 is about 47493.8109652195. The cubic root of 2255662080 is about 1311.4689502589.

The spelling of 2255662080 in words is "two billion, two hundred fifty-five million, six hundred sixty-two thousand, eighty".