4542580224 has 640 divisors, whose sum is σ = 17378887680. Its totient is φ = 1138655232.

The previous prime is 4542580087. The next prime is 4542580261. The reversal of 4542580224 is 4220852454.

4542580224 is a `hidden beast` number, since 4 + 5 + 425 + 8 + 0 + 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 63 ways as a sum of consecutive naturals, for example, 28933554 + ... + 28933710.

It is an arithmetic number, because the mean of its divisors is an integer number (27154512).

Almost surely, 2^4542580224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689443840).

4542580224 is an abundant number, since it is smaller than the sum of its proper divisors (12836307456).

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

4542580224 is a wasteful number, since it uses less digits than its factorization.

4542580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4542580224 is about 67398.6663369536. Note that the first 3 decimals coincide. The cubic root of 4542580224 is about 1656.1545749431.

The spelling of 4542580224 in words is "four billion, five hundred forty-two million, five hundred eighty thousand, two hundred twenty-four".