2584920987 has 96 divisors (see below), whose sum is σ = 4515264000. Its totient is φ = 1406592000.

The previous prime is 2584920979. The next prime is 2584921007. The reversal of 2584920987 is 7890294852.

It is not a de Polignac number, because 2584920987 - 2³ = 2584920979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2584920287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6445987 + ... + 6446387.

It is an arithmetic number, because the mean of its divisors is an integer number (47034000).

Almost surely, 2^2584920987 is an apocalyptic number.

2584920987 is a deficient number, since it is larger than the sum of its proper divisors (1930343013).

2584920987 is a wasteful number, since it uses less digits than its factorization.

2584920987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2584920987 is about 50842.1182387201. The cubic root of 2584920987 is about 1372.4054189455.

The spelling of 2584920987 in words is "two billion, five hundred eighty-four million, nine hundred twenty thousand, nine hundred eighty-seven".