2542510819 has 12 divisors (see below), whose sum is σ = 2623784400. Its totient is φ = 2463608000.

The previous prime is 2542510757. The next prime is 2542510829. The reversal of 2542510819 is 9180152452.

It is not a de Polignac number, because 2542510819 - 2²⁹ = 2005639907 is a prime.

It is a super-2 number, since 2×2542510819² = 12928722529464101522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2542510829) 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 11 ways as a sum of consecutive naturals, for example, 245394 + ... + 255544.

It is an arithmetic number, because the mean of its divisors is an integer number (218648700).

Almost surely, 2^2542510819 is an apocalyptic number.

2542510819 is a deficient number, since it is larger than the sum of its proper divisors (81273581).

2542510819 is a wasteful number, since it uses less digits than its factorization.

2542510819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 2542510819 is about 50423.3162237471. The cubic root of 2542510819 is about 1364.8584196610.

The spelling of 2542510819 in words is "two billion, five hundred forty-two million, five hundred ten thousand, eight hundred nineteen".