2553217728 has 56 divisors (see below), whose sum is σ = 6784500528. Its totient is φ = 847405056.

The previous prime is 2553217721. The next prime is 2553217759. The reversal of 2553217728 is 8277123552.

It is a self number, because there is not a number n which added to its sum of digits gives 2553217728.

It is not an unprimeable number, because it can be changed into a prime (2553217721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16200 + ... + 73272.

Almost surely, 2^2553217728 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 2553217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392250264).

2553217728 is an abundant number, since it is smaller than the sum of its proper divisors (4231282800).

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

2553217728 is a wasteful number, since it uses less digits than its factorization.

2553217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57321 (or 57311 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 2553217728 is about 50529.3749021299. The cubic root of 2553217728 is about 1366.7716137004.

The spelling of 2553217728 in words is "two billion, five hundred fifty-three million, two hundred seventeen thousand, seven hundred twenty-eight".