2401440 has 48 divisors (see below), whose sum is σ = 7566048. Its totient is φ = 640256.

The previous prime is 2401423. The next prime is 2401447. The reversal of 2401440 is 441042.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2401447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (157626).

2^2401440 is an apocalyptic number.

2401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401440 is an abundant number, since it is smaller than the sum of its proper divisors (5164608).

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

2401440 is a wasteful number, since it uses less digits than its factorization.

2401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2401440 is about 1549.6580267917. The cubic root of 2401440 is about 133.9133619808.

Adding to 2401440 its reverse (441042), we get a palindrome (2842482).

The spelling of 2401440 in words is "two million, four hundred one thousand, four hundred forty".