2593728216 has 320 divisors, whose sum is σ = 8326929600. Its totient is φ = 749371392.

The previous prime is 2593728197. The next prime is 2593728227. The reversal of 2593728216 is 6128273952.

2593728216 is a `hidden beast` number, since 259 + 372 + 8 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7347496 + ... + 7347848.

It is an arithmetic number, because the mean of its divisors is an integer number (26021655).

Almost surely, 2^2593728216 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 2593728216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163464800).

2593728216 is an abundant number, since it is smaller than the sum of its proper divisors (5733201384).

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

2593728216 is a wasteful number, since it uses less digits than its factorization.

2593728216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2593728216 is about 50928.6581013087. The cubic root of 2593728216 is about 1373.9623185257.

The spelling of 2593728216 in words is "two billion, five hundred ninety-three million, seven hundred twenty-eight thousand, two hundred sixteen".