2400321 has 16 divisors (see below), whose sum is σ = 3990528. Its totient is φ = 1246800.

The previous prime is 2400311. The next prime is 2400323. The reversal of 2400321 is 1230042.

It is not a de Polignac number, because 2400321 - 2⁹ = 2399809 is a prime.

2400321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2400297 and 2400306.

It is not an unprimeable number, because it can be changed into a prime (2400323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4965 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (249408).

2^2400321 is an apocalyptic number.

2400321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2400321 is a deficient number, since it is larger than the sum of its proper divisors (1590207).

2400321 is a wasteful number, since it uses less digits than its factorization.

2400321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2400321 is about 1549.2969373235. The cubic root of 2400321 is about 133.8925588608.

Adding to 2400321 its reverse (1230042), we get a palindrome (3630363).

The spelling of 2400321 in words is "two million, four hundred thousand, three hundred twenty-one".