2402400640400 has 30 divisors (see below), whose sum is σ = 5771767539522. Its totient is φ = 960960256000.

The previous prime is 2402400640379. The next prime is 2402400640511. The reversal of 2402400640400 is 40460042042.

2402400640400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 644898939136 + 1757501701264 = 803056^2 + 1325708^2 .

It is a super-2 number, since 2×2402400640400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2402400640400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3003000401 + ... + 3003001200.

Almost surely, 2^{2402400640400} is an apocalyptic number.

2402400640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402400640400 is an abundant number, since it is smaller than the sum of its proper divisors (3369366899122).

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

2402400640400 is a wasteful number, since it uses less digits than its factorization.

2402400640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006001619 (or 6006001608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2402400640400 its reverse (40460042042), we get a palindrome (2442860682442).

The spelling of 2402400640400 in words is "two trillion, four hundred two billion, four hundred million, six hundred forty thousand, four hundred".