2586236961 has 16 divisors (see below), whose sum is σ = 4299199488. Its totient is φ = 1343499600.

The previous prime is 2586236953. The next prime is 2586236971. The reversal of 2586236961 is 1696326852.

It is not a de Polignac number, because 2586236961 - 2³ = 2586236953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2586236961.

It is not an unprimeable number, because it can be changed into a prime (2586236921) 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 15 ways as a sum of consecutive naturals, for example, 5597685 + ... + 5598146.

It is an arithmetic number, because the mean of its divisors is an integer number (268699968).

Almost surely, 2^2586236961 is an apocalyptic number.

2586236961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2586236961 is a deficient number, since it is larger than the sum of its proper divisors (1712962527).

2586236961 is a wasteful number, since it uses less digits than its factorization.

2586236961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195852.

The product of its digits is 933120, while the sum is 48.

The square root of 2586236961 is about 50855.0583619761. The cubic root of 2586236961 is about 1372.6382749928.

The spelling of 2586236961 in words is "two billion, five hundred eighty-six million, two hundred thirty-six thousand, nine hundred sixty-one".