2171725920 has 288 divisors, whose sum is σ = 9121799232. Its totient is φ = 458182656.

The previous prime is 2171725901. The next prime is 2171725921. The reversal of 2171725920 is 295271712.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171725921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122754 + ... + 139326.

It is an arithmetic number, because the mean of its divisors is an integer number (31672914).

Almost surely, 2^2171725920 is an apocalyptic number.

2171725920 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 2171725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560899616).

2171725920 is an abundant number, since it is smaller than the sum of its proper divisors (6950073312).

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

2171725920 is a wasteful number, since it uses less digits than its factorization.

2171725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614 (or 16603 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2171725920 is about 46601.7802235065. The cubic root of 2171725920 is about 1294.9957354898.

The spelling of 2171725920 in words is "two billion, one hundred seventy-one million, seven hundred twenty-five thousand, nine hundred twenty".