2104400420400 has 60 divisors (see below), whose sum is σ = 6741096017192. Its totient is φ = 561173445120.

The previous prime is 2104400420389. The next prime is 2104400420407. The reversal of 2104400420400 is 40240044012.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2104400420400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2104400420407) 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 11 ways as a sum of consecutive naturals, for example, 876832309 + ... + 876834708.

Almost surely, 2^{2104400420400} is an apocalyptic number.

2104400420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104400420400 is an abundant number, since it is smaller than the sum of its proper divisors (4636695596792).

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

2104400420400 is a wasteful number, since it uses less digits than its factorization.

2104400420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753667038 (or 1753667027 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 2104400420400 its reverse (40240044012), we get a palindrome (2144640464412).

The spelling of 2104400420400 in words is "two trillion, one hundred four billion, four hundred million, four hundred twenty thousand, four hundred".