2255930208 has 288 divisors, whose sum is σ = 7677633600. Its totient is φ = 627701760.

The previous prime is 2255930191. The next prime is 2255930221. The reversal of 2255930208 is 8020395522.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2255930208² = 10178442206733846528, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4049866 + ... + 4050422.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 2^2255930208 is an apocalyptic number.

2255930208 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 2255930208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838816800).

2255930208 is an abundant number, since it is smaller than the sum of its proper divisors (5421703392).

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

2255930208 is a wasteful number, since it uses less digits than its factorization.

2255930208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2255930208 is about 47496.6336491335. The cubic root of 2255930208 is about 1311.5209124769.

The spelling of 2255930208 in words is "two billion, two hundred fifty-five million, nine hundred thirty thousand, two hundred eight".