2401032024 has 64 divisors (see below), whose sum is σ = 6698796000. Its totient is φ = 796832640.

The previous prime is 2401032019. The next prime is 2401032079. The reversal of 2401032024 is 4202301042.

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 = 2401031988 and 2401032006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25194 + ... + 73734.

Almost surely, 2^2401032024 is an apocalyptic number.

2401032024 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 2401032024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349398000).

2401032024 is an abundant number, since it is smaller than the sum of its proper divisors (4297763976).

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

2401032024 is a wasteful number, since it uses less digits than its factorization.

2401032024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48785 (or 48775 counting only the distinct ones).

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

The square root of 2401032024 is about 49000.3267744206. The cubic root of 2401032024 is about 1339.0577812386.

Adding to 2401032024 its reverse (4202301042), we get a palindrome (6603333066).

The spelling of 2401032024 in words is "two billion, four hundred one million, thirty-two thousand, twenty-four".