2082164511 has 16 divisors (see below), whose sum is σ = 3188934144. Its totient is φ = 1183766304.

The previous prime is 2082164501. The next prime is 2082164521. The reversal of 2082164511 is 1154612802.

It is an interprime number because it is at equal distance from previous prime (2082164501) and next prime (2082164521).

It is not a de Polignac number, because 2082164511 - 2¹³ = 2082156319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082164501) 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 15 ways as a sum of consecutive naturals, for example, 247515 + ... + 255788.

It is an arithmetic number, because the mean of its divisors is an integer number (199308384).

Almost surely, 2^2082164511 is an apocalyptic number.

2082164511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2082164511 is a deficient number, since it is larger than the sum of its proper divisors (1106769633).

2082164511 is a wasteful number, since it uses less digits than its factorization.

2082164511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503510.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2082164511 is about 45630.7408552612. The cubic root of 2082164511 is about 1276.9434947537.

The spelling of 2082164511 in words is "two billion, eighty-two million, one hundred sixty-four thousand, five hundred eleven".