2586201319240 has 384 divisors, whose sum is σ = 7493043801600. Its totient is φ = 794265937920.

The previous prime is 2586201319231. The next prime is 2586201319249. The reversal of 2586201319240 is 429131026852.

It is an interprime number because it is at equal distance from previous prime (2586201319231) and next prime (2586201319249).

It is not an unprimeable number, because it can be changed into a prime (2586201319249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044084882 + ... + 1044087358.

It is an arithmetic number, because the mean of its divisors is an integer number (19513134900).

Almost surely, 2^{2586201319240} is an apocalyptic number.

2586201319240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2586201319240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746521900800).

2586201319240 is an abundant number, since it is smaller than the sum of its proper divisors (4906842482360).

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

2586201319240 is a wasteful number, since it uses less digits than its factorization.

2586201319240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 2586201319240 in words is "two trillion, five hundred eighty-six billion, two hundred one million, three hundred nineteen thousand, two hundred forty".