2401332024 has 256 divisors, whose sum is σ = 7943040000. Its totient is φ = 599477760.

The previous prime is 2401332019. The next prime is 2401332041. The reversal of 2401332024 is 4202331042.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2032714 + ... + 2033894.

It is an arithmetic number, because the mean of its divisors is an integer number (31027500).

Almost surely, 2^2401332024 is an apocalyptic number.

2401332024 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 2401332024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971520000).

2401332024 is an abundant number, since it is smaller than the sum of its proper divisors (5541707976).

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

2401332024 is a wasteful number, since it uses less digits than its factorization.

2401332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2401332024 is about 49003.3878828801. The cubic root of 2401332024 is about 1339.1135490085.

Adding to 2401332024 its reverse (4202331042), we get a palindrome (6603663066).

The spelling of 2401332024 in words is "two billion, four hundred one million, three hundred thirty-two thousand, twenty-four".