2401341440 has 104 divisors (see below), whose sum is σ = 5920127160. Its totient is φ = 934281216.

The previous prime is 2401341431. The next prime is 2401341457. The reversal of 2401341440 is 441431042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1061195776 + 1340145664 = 32576^2 + 36608^2 .

It is a super-2 number, since 2×2401341440² = 11532881422922547200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756176 + ... + 759344.

Almost surely, 2^2401341440 is an apocalyptic number.

2401341440 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 2401341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960063580).

2401341440 is an abundant number, since it is smaller than the sum of its proper divisors (3518785720).

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

2401341440 is an equidigital number, since it uses as much as digits as its factorization.

2401341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2401341440 is about 49003.4839577759. The cubic root of 2401341440 is about 1339.1152992978.

Adding to 2401341440 its reverse (441431042), we get a palindrome (2842772482).

The spelling of 2401341440 in words is "two billion, four hundred one million, three hundred forty-one thousand, four hundred forty".