2104200106400 has 288 divisors, whose sum is σ = 5987177296128. Its totient is φ = 707154739200.

The previous prime is 2104200106391. The next prime is 2104200106417. The reversal of 2104200106400 is 46010024012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 386727680 + ... + 386733120.

It is an arithmetic number, because the mean of its divisors is an integer number (20788810056).

Almost surely, 2^{2104200106400} is an apocalyptic number.

2104200106400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104200106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993588648064).

2104200106400 is an abundant number, since it is smaller than the sum of its proper divisors (3882977189728).

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

2104200106400 is a wasteful number, since it uses less digits than its factorization.

2104200106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The spelling of 2104200106400 in words is "two trillion, one hundred four billion, two hundred million, one hundred six thousand, four hundred".