2548919213280 has 288 divisors, whose sum is σ = 9522716138208. Its totient is φ = 615719731200.

The previous prime is 2548919213273. The next prime is 2548919213329. The reversal of 2548919213280 is 823129198452.

2548919213280 is a `hidden beast` number, since 2 + 54 + 89 + 192 + 1 + 328 + 0 = 666.

2548919213280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4164712 + ... + 4737368.

It is an arithmetic number, because the mean of its divisors is an integer number (33064986591).

Almost surely, 2^{2548919213280} is an apocalyptic number.

2548919213280 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 2548919213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761358069104).

2548919213280 is an abundant number, since it is smaller than the sum of its proper divisors (6973796924928).

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

2548919213280 is a wasteful number, since it uses less digits than its factorization.

2548919213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572970 (or 572959 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2548919213280 in words is "two trillion, five hundred forty-eight billion, nine hundred nineteen million, two hundred thirteen thousand, two hundred eighty".