2172303360 has 384 divisors, whose sum is σ = 7897780800. Its totient is φ = 573308928.

The previous prime is 2172303349. The next prime is 2172303361. The reversal of 2172303360 is 633032712.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172303361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22394832 + ... + 22394928.

Almost surely, 2^2172303360 is an apocalyptic number.

2172303360 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 2172303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948890400).

2172303360 is an abundant number, since it is smaller than the sum of its proper divisors (5725477440).

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

2172303360 is an frugal number, since it uses more digits than its factorization.

2172303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 2172303360 is about 46607.9752832066. The cubic root of 2172303360 is about 1295.1105007501.

The spelling of 2172303360 in words is "two billion, one hundred seventy-two million, three hundred three thousand, three hundred sixty".