2340128000 has 288 divisors, whose sum is σ = 6897666048. Its totient is φ = 774144000.

The previous prime is 2340127981. The next prime is 2340128053. The reversal of 2340128000 is 8210432.

It is a super-3 number, since 3×2340128000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6943832 + ... + 6944168.

Almost surely, 2^2340128000 is an apocalyptic number.

2340128000 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 2340128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448833024).

2340128000 is an abundant number, since it is smaller than the sum of its proper divisors (4557538048).

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

2340128000 is an equidigital number, since it uses as much as digits as its factorization.

2340128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2340128000 is about 48374.8695088679. The cubic root of 2340128000 is about 1327.6386010344.

Adding to 2340128000 its reverse (8210432), we get a palindrome (2348338432).

The spelling of 2340128000 in words is "two billion, three hundred forty million, one hundred twenty-eight thousand".