2400140001 has 96 divisors (see below), whose sum is σ = 3992371200. Its totient is φ = 1276853760.

The previous prime is 2400139993. The next prime is 2400140047. The reversal of 2400140001 is 1000410042.

It is not a de Polignac number, because 2400140001 - 2³ = 2400139993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2400140051) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21240121 + ... + 21240233.

It is an arithmetic number, because the mean of its divisors is an integer number (41587200).

Almost surely, 2^2400140001 is an apocalyptic number.

2400140001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2400140001 is a deficient number, since it is larger than the sum of its proper divisors (1592231199).

2400140001 is a wasteful number, since it uses less digits than its factorization.

2400140001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2400140001 is about 48991.2237140490. The cubic root of 2400140001 is about 1338.8919333477.

Adding to 2400140001 its reverse (1000410042), we get a palindrome (3400550043).

The spelling of 2400140001 in words is "two billion, four hundred million, one hundred forty thousand, one".