2002400031 has 8 divisors (see below), whose sum is σ = 2695788160. Its totient is φ = 1321972632.

The previous prime is 2002400027. The next prime is 2002400039. The reversal of 2002400031 is 1300042002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2002400031 - 2² = 2002400027 is a prime.

It is a super-2 number, since 2×2002400031² = 8019211768297601922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002400039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3239821 + ... + 3240438.

It is an arithmetic number, because the mean of its divisors is an integer number (336973520).

Almost surely, 2^2002400031 is an apocalyptic number.

2002400031 is a deficient number, since it is larger than the sum of its proper divisors (693388129).

2002400031 is a wasteful number, since it uses less digits than its factorization.

2002400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480365.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002400031 is about 44748.1846670901. The cubic root of 2002400031 is about 1260.4248233661.

Adding to 2002400031 its reverse (1300042002), we get a palindrome (3302442033).

The spelling of 2002400031 in words is "two billion, two million, four hundred thousand, thirty-one".