2148559360 has 80 divisors (see below), whose sum is σ = 5222529576. Its totient is φ = 847577088.

The previous prime is 2148559351. The next prime is 2148559373. The reversal of 2148559360 is 639558412.

It can be written as a sum of positive squares in 4 ways, for example, as 1853819136 + 294740224 = 43056^2 + 17168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181132 + ... + 192628.

Almost surely, 2^2148559360 is an apocalyptic number.

2148559360 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 2148559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611264788).

2148559360 is an abundant number, since it is smaller than the sum of its proper divisors (3073970216).

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

2148559360 is an equidigital number, since it uses as much as digits as its factorization.

2148559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11593 (or 11577 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 2148559360 is about 46352.5550536322. Note that the first 3 decimals coincide. The cubic root of 2148559360 is about 1290.3745402044.

The spelling of 2148559360 in words is "two billion, one hundred forty-eight million, five hundred fifty-nine thousand, three hundred sixty".