2400024321 has 24 divisors (see below), whose sum is σ = 3557825856. Its totient is φ = 1558470240.

The previous prime is 2400024313. The next prime is 2400024331. The reversal of 2400024321 is 1234200042.

2400024321 is a `hidden beast` number, since 2 + 400 + 0 + 243 + 21 = 666.

It is not a de Polignac number, because 2400024321 - 2³ = 2400024313 is a prime.

It is a super-2 number, since 2×2400024321² = 11520233482783022082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400024294 and 2400024303.

It is not an unprimeable number, because it can be changed into a prime (2400024331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35326 + ... + 77768.

It is an arithmetic number, because the mean of its divisors is an integer number (148242744).

Almost surely, 2^2400024321 is an apocalyptic number.

It is an amenable number.

2400024321 is a deficient number, since it is larger than the sum of its proper divisors (1157801535).

2400024321 is a wasteful number, since it uses less digits than its factorization.

2400024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42613 (or 42610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400024321 is about 48990.0430802015. The cubic root of 2400024321 is about 1338.8704227265.

Adding to 2400024321 its reverse (1234200042), we get a palindrome (3634224363).

The spelling of 2400024321 in words is "two billion, four hundred million, twenty-four thousand, three hundred twenty-one".