2401340004 has 144 divisors (see below), whose sum is σ = 7325136000. Its totient is φ = 647958528.

The previous prime is 2401339999. The next prime is 2401340009. The reversal of 2401340004 is 4000431042.

It is an interprime number because it is at equal distance from previous prime (2401339999) and next prime (2401340009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2401340009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149254 + ... + 2150370.

It is an arithmetic number, because the mean of its divisors is an integer number (50869000).

Almost surely, 2^2401340004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662568000).

2401340004 is an abundant number, since it is smaller than the sum of its proper divisors (4923795996).

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

2401340004 is a wasteful number, since it uses less digits than its factorization.

2401340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1597 counting only the distinct ones).

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

The square root of 2401340004 is about 49003.4693057543. The cubic root of 2401340004 is about 1339.1150323678.

Adding to 2401340004 its reverse (4000431042), we get a palindrome (6401771046).

The spelling of 2401340004 in words is "two billion, four hundred one million, three hundred forty thousand, four".