2170406000 has 120 divisors (see below), whose sum is σ = 6105140496. Its totient is φ = 744105600.

The previous prime is 2170405999. The next prime is 2170406039. The reversal of 2170406000 is 6040712.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 86927 + ... + 109073.

Almost surely, 2^2170406000 is an apocalyptic number.

2170406000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052570248).

2170406000 is an abundant number, since it is smaller than the sum of its proper divisors (3934734496).

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

2170406000 is a wasteful number, since it uses less digits than its factorization.

2170406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22184 (or 22161 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2170406000 is about 46587.6163803215. The cubic root of 2170406000 is about 1294.7333271198.

Adding to 2170406000 its reverse (6040712), we get a palindrome (2176446712).

The spelling of 2170406000 in words is "two billion, one hundred seventy million, four hundred six thousand".