2255913828 has 336 divisors, whose sum is σ = 7256820480. Its totient is φ = 599622912.

The previous prime is 2255913823. The next prime is 2255913839. The reversal of 2255913828 is 8283195522.

2255913828 is a `hidden beast` number, since 2 + 2 + 5 + 591 + 38 + 28 = 666.

It is a super-2 number, since 2×2255913828² = 10178294398723227168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255913823) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21902025 + ... + 21902127.

It is an arithmetic number, because the mean of its divisors is an integer number (21597680).

Almost surely, 2^2255913828 is an apocalyptic number.

2255913828 is a gapful number since it is divisible by the number (28) 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 2255913828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628410240).

2255913828 is an abundant number, since it is smaller than the sum of its proper divisors (5000906652).

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

2255913828 is a wasteful number, since it uses less digits than its factorization.

2255913828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 2255913828 is about 47496.4612155474. The cubic root of 2255913828 is about 1311.5177382114.

The spelling of 2255913828 in words is "two billion, two hundred fifty-five million, nine hundred thirteen thousand, eight hundred twenty-eight".