2586375264 has 48 divisors (see below), whose sum is σ = 7406441280. Its totient is φ = 783749760.

The previous prime is 2586375241. The next prime is 2586375283. The reversal of 2586375264 is 4625736852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1223554 + ... + 1225665.

It is an arithmetic number, because the mean of its divisors is an integer number (154300860).

Almost surely, 2^2586375264 is an apocalyptic number.

2586375264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2586375264 is an abundant number, since it is smaller than the sum of its proper divisors (4820066016).

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

2586375264 is a wasteful number, since it uses less digits than its factorization.

2586375264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449243 (or 2449235 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 2586375264 is about 50856.4181200367. The cubic root of 2586375264 is about 1372.6627425378.

It can be divided in two parts, 258637 and 5264, that added together give a triangular number (263901 = T₇₂₆).

The spelling of 2586375264 in words is "two billion, five hundred eighty-six million, three hundred seventy-five thousand, two hundred sixty-four".