2541331440 has 240 divisors, whose sum is σ = 8747356800. Its totient is φ = 661022208.

The previous prime is 2541331439. The next prime is 2541331447. The reversal of 2541331440 is 441331452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541331447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6705171 + ... + 6705549.

It is an arithmetic number, because the mean of its divisors is an integer number (36447320).

Almost surely, 2^2541331440 is an apocalyptic number.

2541331440 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 2541331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373678400).

2541331440 is an abundant number, since it is smaller than the sum of its proper divisors (6206025360).

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

2541331440 is a wasteful number, since it uses less digits than its factorization.

2541331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2541331440 is about 50411.6200890231. The cubic root of 2541331440 is about 1364.6473508359.

Adding to 2541331440 its reverse (441331452), we get a palindrome (2982662892).

The spelling of 2541331440 in words is "two billion, five hundred forty-one million, three hundred thirty-one thousand, four hundred forty".