2589687261 has 32 divisors (see below), whose sum is σ = 4389780480. Its totient is φ = 1478091888.

The previous prime is 2589687259. The next prime is 2589687281. The reversal of 2589687261 is 1627869852.

It is not a de Polignac number, because 2589687261 - 2¹ = 2589687259 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2589687198 and 2589687207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589687241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163870 + ... + 178976.

It is an arithmetic number, because the mean of its divisors is an integer number (137180640).

Almost surely, 2^2589687261 is an apocalyptic number.

2589687261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2589687261 is a deficient number, since it is larger than the sum of its proper divisors (1800093219).

2589687261 is a wasteful number, since it uses less digits than its factorization.

2589687261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16030 (or 16024 counting only the distinct ones).

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

The square root of 2589687261 is about 50888.9699345546. The cubic root of 2589687261 is about 1373.2484162089.

The spelling of 2589687261 in words is "two billion, five hundred eighty-nine million, six hundred eighty-seven thousand, two hundred sixty-one".