2543728140 has 36 divisors (see below), whose sum is σ = 7715975904. Its totient is φ = 678327456.

The previous prime is 2543728129. The next prime is 2543728169. The reversal of 2543728140 is 418273452.

It is a happy number.

2543728140 is a `hidden beast` number, since 2 + 543 + 72 + 8 + 1 + 40 = 666.

2543728140 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2543728095 and 2543728104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7065732 + ... + 7066091.

It is an arithmetic number, because the mean of its divisors is an integer number (214332664).

Almost surely, 2^2543728140 is an apocalyptic number.

2543728140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2543728140 is an abundant number, since it is smaller than the sum of its proper divisors (5172247764).

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

2543728140 is a wasteful number, since it uses less digits than its factorization.

2543728140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131838 (or 14131833 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2543728140 is about 50435.3857921202. The cubic root of 2543728140 is about 1365.0762103728.

The spelling of 2543728140 in words is "two billion, five hundred forty-three million, seven hundred twenty-eight thousand, one hundred forty".