2543886072 has 192 divisors, whose sum is σ = 8537081280. Its totient is φ = 666372096.

The previous prime is 2543886011. The next prime is 2543886077. The reversal of 2543886072 is 2706883452.

2543886072 is a `hidden beast` number, since 2 + 5 + 4 + 38 + 8 + 607 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543886077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027428 + ... + 1029900.

It is an arithmetic number, because the mean of its divisors is an integer number (44463965).

Almost surely, 2^2543886072 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 2543886072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268540640).

2543886072 is an abundant number, since it is smaller than the sum of its proper divisors (5993195208).

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

2543886072 is a wasteful number, since it uses less digits than its factorization.

2543886072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2543886072 is about 50436.9514542661. The cubic root of 2543886072 is about 1365.1044608701.

The spelling of 2543886072 in words is "two billion, five hundred forty-three million, eight hundred eighty-six thousand, seventy-two".