2548657542144 has 352 divisors, whose sum is σ = 8045006340096. Its totient is φ = 701970186240.

The previous prime is 2548657542127. The next prime is 2548657542173. The reversal of 2548657542144 is 4412457568452.

It is a super-2 number, since 2×2548657542144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175314844 + ... + 175329380.

It is an arithmetic number, because the mean of its divisors is an integer number (22855131648).

Almost surely, 2^{2548657542144} is an apocalyptic number.

2548657542144 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 2548657542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022503170048).

2548657542144 is an abundant number, since it is smaller than the sum of its proper divisors (5496348797952).

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

2548657542144 is a wasteful number, since it uses less digits than its factorization.

2548657542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14861 (or 14843 counting only the distinct ones).

The product of its digits is 43008000, while the sum is 57.

The spelling of 2548657542144 in words is "two trillion, five hundred forty-eight billion, six hundred fifty-seven million, five hundred forty-two thousand, one hundred forty-four".