2548728000 has 672 divisors, whose sum is σ = 11250046080. Its totient is φ = 536371200.

The previous prime is 2548727989. The next prime is 2548728041. The reversal of 2548728000 is 8278452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6551806 + ... + 6552194.

It is an arithmetic number, because the mean of its divisors is an integer number (16741140).

Almost surely, 2^2548728000 is an apocalyptic number.

2548728000 is a gapful number since it is divisible by the number (20) 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 2548728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625023040).

2548728000 is an abundant number, since it is smaller than the sum of its proper divisors (8701318080).

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

2548728000 is a wasteful number, since it uses less digits than its factorization.

2548728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2548728000 is about 50484.9284440416. The cubic root of 2548728000 is about 1365.9700064942.

The spelling of 2548728000 in words is "two billion, five hundred forty-eight million, seven hundred twenty-eight thousand".