2110400204000 has 576 divisors, whose sum is σ = 5879422838016. Its totient is φ = 743536640000.

The previous prime is 2110400203957. The next prime is 2110400204111. The reversal of 2110400204000 is 4020040112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570523590 + ... + 2570524410.

It is an arithmetic number, because the mean of its divisors is an integer number (10207331316).

Almost surely, 2^{2110400204000} is an apocalyptic number.

2110400204000 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 2110400204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939711419008).

2110400204000 is an abundant number, since it is smaller than the sum of its proper divisors (3769022634016).

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

2110400204000 is a wasteful number, since it uses less digits than its factorization.

2110400204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2110400204000 its reverse (4020040112), we get a palindrome (2114420244112).

The spelling of 2110400204000 in words is "two trillion, one hundred ten billion, four hundred million, two hundred four thousand".