2586189342 has 64 divisors (see below), whose sum is σ = 5743415808. Its totient is φ = 769776000.

The previous prime is 2586189337. The next prime is 2586189343. The reversal of 2586189342 is 2439816852.

It is a junction number, because it is equal to n+sod(n) for n = 2586189291 and 2586189300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586189343) 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, 1484592 + ... + 1486332.

It is an arithmetic number, because the mean of its divisors is an integer number (89740872).

Almost surely, 2^2586189342 is an apocalyptic number.

2586189342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586189342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871707904).

2586189342 is an abundant number, since it is smaller than the sum of its proper divisors (3157226466).

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

2586189342 is a wasteful number, since it uses less digits than its factorization.

2586189342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145.

The product of its digits is 829440, while the sum is 48.

The square root of 2586189342 is about 50854.5901763056. The cubic root of 2586189342 is about 1372.6298503893.

The spelling of 2586189342 in words is "two billion, five hundred eighty-six million, one hundred eighty-nine thousand, three hundred forty-two".