2171008320 has 224 divisors, whose sum is σ = 7528023552. Its totient is φ = 526860288.

The previous prime is 2171008291. The next prime is 2171008321. The reversal of 2171008320 is 238001712.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171008321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 909849 + ... + 912231.

It is an arithmetic number, because the mean of its divisors is an integer number (33607248).

Almost surely, 2^2171008320 is an apocalyptic number.

2171008320 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 2171008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764011776).

2171008320 is an abundant number, since it is smaller than the sum of its proper divisors (5357015232).

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

2171008320 is a wasteful number, since it uses less digits than its factorization.

2171008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2171008320 is about 46594.0803107004. The cubic root of 2171008320 is about 1294.8530853048.

The spelling of 2171008320 in words is "two billion, one hundred seventy-one million, eight thousand, three hundred twenty".