2541543040 has 64 divisors (see below), whose sum is σ = 6175575720. Its totient is φ = 999936000.

The previous prime is 2541543023. The next prime is 2541543041. The reversal of 2541543040 is 403451452.

It can be written as a sum of positive squares in 4 ways, for example, as 1791659584 + 749883456 = 42328^2 + 27384^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2541543041) 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 7 ways as a sum of consecutive naturals, for example, 6490 + ... + 71590.

Almost surely, 2^2541543040 is an apocalyptic number.

2541543040 is a gapful number since it is divisible by the number (20) 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 2541543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087787860).

2541543040 is an abundant number, since it is smaller than the sum of its proper divisors (3634032680).

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

2541543040 is an equidigital number, since it uses as much as digits as its factorization.

2541543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65181 (or 65169 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2541543040 is about 50413.7187678116. The cubic root of 2541543040 is about 1364.6852248628.

Adding to 2541543040 its reverse (403451452), we get a palindrome (2944994492).

The spelling of 2541543040 in words is "two billion, five hundred forty-one million, five hundred forty-three thousand, forty".