6228254880 has 288 divisors, whose sum is σ = 21730887360. Its totient is φ = 1624043520.

The previous prime is 6228254839. The next prime is 6228254911. The reversal of 6228254880 is 884528226.

6228254880 is a `hidden beast` number, since 6 + 2 + 28 + 2 + 548 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18816315 + ... + 18816645.

It is an arithmetic number, because the mean of its divisors is an integer number (75454470).

Almost surely, 2^6228254880 is an apocalyptic number.

6228254880 is a gapful number since it is divisible by the number (60) 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 6228254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10865443680).

6228254880 is an abundant number, since it is smaller than the sum of its proper divisors (15502632480).

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

6228254880 is a wasteful number, since it uses less digits than its factorization.

6228254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 6228254880 is about 78919.2934585707. The cubic root of 6228254880 is about 1839.8770081621.

The spelling of 6228254880 in words is "six billion, two hundred twenty-eight million, two hundred fifty-four thousand, eight hundred eighty".