2543106048 has 192 divisors, whose sum is σ = 8019648000. Its totient is φ = 701202432.

The previous prime is 2543106047. The next prime is 2543106079. The reversal of 2543106048 is 8406013452.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543106047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246213 + ... + 1248251.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 2^2543106048 is an apocalyptic number.

2543106048 is a gapful number since it is divisible by the number (28) 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 2543106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2543106048 is an abundant number, since it is smaller than the sum of its proper divisors (5476541952).

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

2543106048 is a wasteful number, since it uses less digits than its factorization.

2543106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2543106048 is about 50429.2181973903. The cubic root of 2543106048 is about 1364.9649206727.

The spelling of 2543106048 in words is "two billion, five hundred forty-three million, one hundred six thousand, forty-eight".