2548125402624 has 960 divisors, whose sum is σ = 8377833784320. Its totient is φ = 770383872000.

The previous prime is 2548125402607. The next prime is 2548125402649. The reversal of 2548125402624 is 4262045218452.

2548125402624 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 12 + 5 + 4 + 0 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2548125402624.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5912123689 + ... + 5912124119.

It is an arithmetic number, because the mean of its divisors is an integer number (8726910192).

Almost surely, 2^{2548125402624} is an apocalyptic number.

2548125402624 is a gapful number since it is divisible by the number (24) 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 2548125402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188916892160).

2548125402624 is an abundant number, since it is smaller than the sum of its proper divisors (5829708381696).

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

2548125402624 is an equidigital number, since it uses as much as digits as its factorization.

2548125402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 2548125402624 in words is "two trillion, five hundred forty-eight billion, one hundred twenty-five million, four hundred two thousand, six hundred twenty-four".