2586811431904 has 96 divisors (see below), whose sum is σ = 5882162872320. Its totient is φ = 1096902632448.

The previous prime is 2586811431901. The next prime is 2586811431923. The reversal of 2586811431904 is 4091341186852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586811431901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10316532 + ... + 10564300.

It is an arithmetic number, because the mean of its divisors is an integer number (61272529920).

Almost surely, 2^{2586811431904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586811431904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941081436160).

2586811431904 is an abundant number, since it is smaller than the sum of its proper divisors (3295351440416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2586811431904 is a wasteful number, since it uses less digits than its factorization.

2586811431904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248280 (or 248272 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 2586811431904 in words is "two trillion, five hundred eighty-six billion, eight hundred eleven million, four hundred thirty-one thousand, nine hundred four".