2586491640 has 48 divisors (see below), whose sum is σ = 8406099000. Its totient is φ = 689731008.

The previous prime is 2586491627. The next prime is 2586491653. The reversal of 2586491640 is 461946852.

2586491640 is a `hidden beast` number, since 2 + 586 + 4 + 9 + 1 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2586491627) and next prime (2586491653).

It is a super-3 number, since 3×2586491640³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3591990 + ... + 3592709.

Almost surely, 2^2586491640 is an apocalyptic number.

2586491640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586491640 is an abundant number, since it is smaller than the sum of its proper divisors (5819607360).

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

2586491640 is a wasteful number, since it uses less digits than its factorization.

2586491640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184716 (or 7184709 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2586491640 is about 50857.5622695386. The cubic root of 2586491640 is about 1372.6833302442.

The spelling of 2586491640 in words is "two billion, five hundred eighty-six million, four hundred ninety-one thousand, six hundred forty".