2541802563 has 24 divisors (see below), whose sum is σ = 3705633360. Its totient is φ = 1678822080.

The previous prime is 2541802553. The next prime is 2541802573. The reversal of 2541802563 is 3652081452.

It is an interprime number because it is at equal distance from previous prime (2541802553) and next prime (2541802573).

It is not a de Polignac number, because 2541802563 - 2¹⁷ = 2541671491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2541802553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909973 + ... + 912761.

It is an arithmetic number, because the mean of its divisors is an integer number (154401390).

Almost surely, 2^2541802563 is an apocalyptic number.

2541802563 is a deficient number, since it is larger than the sum of its proper divisors (1163830797).

2541802563 is a wasteful number, since it uses less digits than its factorization.

2541802563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2541802563 is about 50416.2926344252. The cubic root of 2541802563 is about 1364.7316736990.

The spelling of 2541802563 in words is "two billion, five hundred forty-one million, eight hundred two thousand, five hundred sixty-three".