2166611667 has 64 divisors (see below), whose sum is σ = 3421716480. Its totient is φ = 1205280000.

The previous prime is 2166611653. The next prime is 2166611693. The reversal of 2166611667 is 7661166612.

It is a happy number.

2166611667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2166611667 - 2¹⁰ = 2166610643 is a prime.

It is a super-2 number, since 2×2166611667² = 9388412231161037778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2166611617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6966442 + ... + 6966752.

It is an arithmetic number, because the mean of its divisors is an integer number (53464320).

Almost surely, 2^2166611667 is an apocalyptic number.

2166611667 is a deficient number, since it is larger than the sum of its proper divisors (1255104813).

2166611667 is a wasteful number, since it uses less digits than its factorization.

2166611667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its digits is 108864, while the sum is 42.

The square root of 2166611667 is about 46546.8760176234. The cubic root of 2166611667 is about 1293.9783969425.

Subtracting 2166611667 from its reverse (7661166612), we obtain a palindrome (5494554945).

It can be divided in two parts, 21666 and 11667, that added together give a palindrome (33333).

The spelling of 2166611667 in words is "two billion, one hundred sixty-six million, six hundred eleven thousand, six hundred sixty-seven".