2024401320 has 96 divisors (see below), whose sum is σ = 6619860000. Its totient is φ = 536512896.

The previous prime is 2024401297. The next prime is 2024401321. The reversal of 2024401320 is 231044202.

2024401320 is a `hidden beast` number, since 202 + 440 + 1 + 3 + 20 = 666.

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 = 2024401293 and 2024401302.

It is not an unprimeable number, because it can be changed into a prime (2024401321) 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, 41431 + ... + 75929.

It is an arithmetic number, because the mean of its divisors is an integer number (68956875).

Almost surely, 2^2024401320 is an apocalyptic number.

2024401320 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 2024401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309930000).

2024401320 is an abundant number, since it is smaller than the sum of its proper divisors (4595458680).

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

2024401320 is a wasteful number, since it uses less digits than its factorization.

2024401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34679 (or 34672 counting only the distinct ones).

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

The square root of 2024401320 is about 44993.3475082706. The cubic root of 2024401320 is about 1265.0243075729.

Adding to 2024401320 its reverse (231044202), we get a palindrome (2255445522).

The spelling of 2024401320 in words is "two billion, twenty-four million, four hundred one thousand, three hundred twenty".