2548943071488 has 1152 divisors, whose sum is σ = 8900720640000. Its totient is φ = 711902822400.

The previous prime is 2548943071417. The next prime is 2548943071501. The reversal of 2548943071488 is 8841703498452.

It is a happy number.

2548943071488 is a `hidden beast` number, since 2 + 5 + 4 + 89 + 4 + 3 + 0 + 71 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2548943071488² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6083396143 + ... + 6083396561.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320000).

Almost surely, 2^{2548943071488} 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 2548943071488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450360320000).

2548943071488 is an abundant number, since it is smaller than the sum of its proper divisors (6351777568512).

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

2548943071488 is a wasteful number, since it uses less digits than its factorization.

2548943071488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2548943071488 in words is "two trillion, five hundred forty-eight billion, nine hundred forty-three million, seventy-one thousand, four hundred eighty-eight".