2148301440 has 320 divisors, whose sum is σ = 7942077000. Its totient is φ = 552738816.

The previous prime is 2148301439. The next prime is 2148301483. The reversal of 2148301440 is 441038412.

2148301440 is a `hidden beast` number, since 214 + 8 + 3 + 0 + 1 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1229484096 + 918817344 = 35064^2 + 30312^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1502646 + ... + 1504074.

Almost surely, 2^2148301440 is an apocalyptic number.

2148301440 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 2148301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971038500).

2148301440 is an abundant number, since it is smaller than the sum of its proper divisors (5793775560).

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

2148301440 is a wasteful number, since it uses less digits than its factorization.

2148301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2148301440 is about 46349.7728149772. The cubic root of 2148301440 is about 1290.3229045634.

Adding to 2148301440 its reverse (441038412), we get a palindrome (2589339852).

The spelling of 2148301440 in words is "two billion, one hundred forty-eight million, three hundred one thousand, four hundred forty".