2163749120 has 144 divisors (see below), whose sum is σ = 5910634800. Its totient is φ = 751828992.

The previous prime is 2163749099. The next prime is 2163749183. The reversal of 2163749120 is 219473612.

It can be written as a sum of positive squares in 8 ways, for example, as 337383424 + 1826365696 = 18368^2 + 42736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279056 + ... + 286704.

It is an arithmetic number, because the mean of its divisors is an integer number (41046075).

Almost surely, 2^2163749120 is an apocalyptic number.

2163749120 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 2163749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955317400).

2163749120 is an abundant number, since it is smaller than the sum of its proper divisors (3746885680).

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

2163749120 is a wasteful number, since it uses less digits than its factorization.

2163749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2163749120 is about 46516.1167768764. The cubic root of 2163749120 is about 1293.4082737837.

The spelling of 2163749120 in words is "two billion, one hundred sixty-three million, seven hundred forty-nine thousand, one hundred twenty".