6054580224 has 624 divisors, whose sum is σ = 22898104320. Its totient is φ = 1552711680.

The previous prime is 6054580219. The next prime is 6054580247. The reversal of 6054580224 is 4220854506.

It is a happy number.

6054580224 is a `hidden beast` number, since 6 + 0 + 54 + 580 + 2 + 24 = 666.

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

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, 76640217 + ... + 76640295.

It is an arithmetic number, because the mean of its divisors is an integer number (36695680).

Almost surely, 2^6054580224 is an apocalyptic number.

6054580224 is a gapful number since it is divisible by the number (64) 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 6054580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11449052160).

6054580224 is an abundant number, since it is smaller than the sum of its proper divisors (16843524096).

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

6054580224 is an equidigital number, since it uses as much as digits as its factorization.

6054580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6054580224 is about 77811.1831551224. The cubic root of 6054580224 is about 1822.6139053942.

The spelling of 6054580224 in words is "six billion, fifty-four million, five hundred eighty thousand, two hundred twenty-four".