2140001424 has 320 divisors, whose sum is σ = 7047168000. Its totient is φ = 615859200.

The previous prime is 2140001419. The next prime is 2140001441. The reversal of 2140001424 is 4241000412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2140001397 and 2140001406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10753677 + ... + 10753875.

It is an arithmetic number, because the mean of its divisors is an integer number (22022400).

Almost surely, 2^2140001424 is an apocalyptic number.

2140001424 is a gapful number since it is divisible by the number (24) 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 2140001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523584000).

2140001424 is an abundant number, since it is smaller than the sum of its proper divisors (4907166576).

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

2140001424 is a wasteful number, since it uses less digits than its factorization.

2140001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2140001424 is about 46260.1494161011. The cubic root of 2140001424 is about 1288.6590283754.

Adding to 2140001424 its reverse (4241000412), we get a palindrome (6381001836).

The spelling of 2140001424 in words is "two billion, one hundred forty million, one thousand, four hundred twenty-four".