2586066020 has 24 divisors (see below), whose sum is σ = 5478803064. Its totient is φ = 1025271296.

The previous prime is 2586066017. The next prime is 2586066059. The reversal of 2586066020 is 206606852.

2586066020 = T₃₂₁₆₀ + T₃₂₁₆₁ + ... + T₃₂₁₆₄.

It can be written as a sum of positive squares in 4 ways, for example, as 233233984 + 2352832036 = 15272^2 + 48506^2 .

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, 569879 + ... + 574398.

It is an arithmetic number, because the mean of its divisors is an integer number (228283461).

Almost surely, 2^2586066020 is an apocalyptic number.

2586066020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586066020 is an abundant number, since it is smaller than the sum of its proper divisors (2892737044).

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

2586066020 is a wasteful number, since it uses less digits than its factorization.

2586066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144399 (or 1144397 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2586066020 is about 50853.3776655986. The cubic root of 2586066020 is about 1372.6080321686.

The spelling of 2586066020 in words is "two billion, five hundred eighty-six million, sixty-six thousand, twenty".