2164351360 has 64 divisors (see below), whose sum is σ = 5224546080. Its totient is φ = 857309184.

The previous prime is 2164351349. The next prime is 2164351361. The reversal of 2164351360 is 631534612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164351361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49504 + ... + 82336.

Almost surely, 2^2164351360 is an apocalyptic number.

2164351360 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 2164351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612273040).

2164351360 is an abundant number, since it is smaller than the sum of its proper divisors (3060194720).

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

2164351360 is a wasteful number, since it uses less digits than its factorization.

2164351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32955 (or 32943 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2164351360 is about 46522.5897817394. The cubic root of 2164351360 is about 1293.5282614993.

Adding to 2164351360 its reverse (631534612), we get a palindrome (2795885972).

The spelling of 2164351360 in words is "two billion, one hundred sixty-four million, three hundred fifty-one thousand, three hundred sixty".