4890340224 has 1024 divisors, whose sum is σ = 20304691200. Its totient is φ = 1119191040.

The previous prime is 4890340199. The next prime is 4890340237. The reversal of 4890340224 is 4220430984.

4890340224 is a `hidden beast` number, since 4 + 8 + 90 + 340 + 224 = 666.

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 127 ways as a sum of consecutive naturals, for example, 104049769 + ... + 104049815.

It is an arithmetic number, because the mean of its divisors is an integer number (19828800).

Almost surely, 2^4890340224 is an apocalyptic number.

4890340224 is a gapful number since it is divisible by the number (44) 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 4890340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

4890340224 is an abundant number, since it is smaller than the sum of its proper divisors (15414350976).

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

4890340224 is a wasteful number, since it uses less digits than its factorization.

4890340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4890340224 is about 69930.9675608739. The cubic root of 4890340224 is about 1697.3823872275.

The spelling of 4890340224 in words is "four billion, eight hundred ninety million, three hundred forty thousand, two hundred twenty-four".