2171764000 has 96 divisors (see below), whose sum is σ = 6098391936. Its totient is φ = 744595200.

The previous prime is 2171763989. The next prime is 2171764031. The reversal of 2171764000 is 4671712.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2171764000.

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 15 ways as a sum of consecutive naturals, for example, 10782 + ... + 66781.

It is an arithmetic number, because the mean of its divisors is an integer number (63524916).

Almost surely, 2^2171764000 is an apocalyptic number.

2171764000 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 2171764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049195968).

2171764000 is an abundant number, since it is smaller than the sum of its proper divisors (3926627936).

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

2171764000 is an equidigital number, since it uses as much as digits as its factorization.

2171764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77595 (or 77577 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 2171764000 is about 46602.1887897983. The cubic root of 2171764000 is about 1295.0033044543.

The spelling of 2171764000 in words is "two billion, one hundred seventy-one million, seven hundred sixty-four thousand".