2400630401 has 32 divisors (see below), whose sum is σ = 2816529408. Its totient is φ = 2025768960.

The previous prime is 2400630383. The next prime is 2400630403. The reversal of 2400630401 is 1040360042.

It is a happy number.

It is not a de Polignac number, because 2400630401 - 2¹⁰ = 2400629377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400630403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781296 + ... + 2782158.

It is an arithmetic number, because the mean of its divisors is an integer number (88016544).

Almost surely, 2^2400630401 is an apocalyptic number.

It is an amenable number.

2400630401 is a deficient number, since it is larger than the sum of its proper divisors (415899007).

2400630401 is a wasteful number, since it uses less digits than its factorization.

2400630401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2400630401 is about 48996.2284364827. The cubic root of 2400630401 is about 1338.9831152357.

Adding to 2400630401 its reverse (1040360042), we get a palindrome (3440990443).

The spelling of 2400630401 in words is "two billion, four hundred million, six hundred thirty thousand, four hundred one".