2032679166 has 64 divisors (see below), whose sum is σ = 4904486400. Its totient is φ = 548643456.

The previous prime is 2032679141. The next prime is 2032679191. The reversal of 2032679166 is 6619762302.

It is an interprime number because it is at equal distance from previous prime (2032679141) and next prime (2032679191).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 294240 + ... + 301068.

It is an arithmetic number, because the mean of its divisors is an integer number (76632600).

It is the magic constant of a 1596 × 1596 magic square.

Almost surely, 2^2032679166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032679166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452243200).

2032679166 is an abundant number, since it is smaller than the sum of its proper divisors (2871807234).

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

2032679166 is a wasteful number, since it uses less digits than its factorization.

2032679166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 2032679166 is about 45085.2433286103. The cubic root of 2032679166 is about 1266.7462052393.

The spelling of 2032679166 in words is "two billion, thirty-two million, six hundred seventy-nine thousand, one hundred sixty-six".