2148363360 has 288 divisors, whose sum is σ = 8613809568. Its totient is φ = 480706560.

The previous prime is 2148363353. The next prime is 2148363409. The reversal of 2148363360 is 633638412.

2148363360 is a `hidden beast` number, since 2 + 14 + 8 + 3 + 633 + 6 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200704 + ... + 211136.

It is an arithmetic number, because the mean of its divisors is an integer number (29909061).

Almost surely, 2^2148363360 is an apocalyptic number.

2148363360 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 2148363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306904784).

2148363360 is an abundant number, since it is smaller than the sum of its proper divisors (6465446208).

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

2148363360 is a wasteful number, since it uses less digits than its factorization.

2148363360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10478 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2148363360 is about 46350.4407746032. The cubic root of 2148363360 is about 1290.3353013380.

The spelling of 2148363360 in words is "two billion, one hundred forty-eight million, three hundred sixty-three thousand, three hundred sixty".