2541728112 has 160 divisors (see below), whose sum is σ = 8238520320. Its totient is φ = 655983360.

The previous prime is 2541728071. The next prime is 2541728117. The reversal of 2541728112 is 2118271452.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541728117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600339 + ... + 604557.

It is an arithmetic number, because the mean of its divisors is an integer number (51490752).

Almost surely, 2^2541728112 is an apocalyptic number.

2541728112 is a gapful number since it is divisible by the number (22) 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 2541728112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119260160).

2541728112 is an abundant number, since it is smaller than the sum of its proper divisors (5696792208).

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

2541728112 is a wasteful number, since it uses less digits than its factorization.

2541728112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4405 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 2541728112 is about 50415.5542665158. The cubic root of 2541728112 is about 1364.7183489518.

Adding to 2541728112 its reverse (2118271452), we get a palindrome (4659999564).

The spelling of 2541728112 in words is "two billion, five hundred forty-one million, seven hundred twenty-eight thousand, one hundred twelve".