2334014004100 has 18 divisors (see below), whose sum is σ = 5064810389114. Its totient is φ = 933605601600.

The previous prime is 2334014004083. The next prime is 2334014004149. The reversal of 2334014004100 is 14004104332.

2334014004100 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 29161709824 + 2304852294276 = 170768^2 + 1518174^2 .

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, 11670069921 + ... + 11670070120.

Almost surely, 2^{2334014004100} is an apocalyptic number.

2334014004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334014004100 is an abundant number, since it is smaller than the sum of its proper divisors (2730796385014).

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

2334014004100 is a wasteful number, since it uses less digits than its factorization.

2334014004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23340140055 (or 23340140048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2334014004100 its reverse (14004104332), we get a palindrome (2348018108432).

The spelling of 2334014004100 in words is "two trillion, three hundred thirty-four billion, fourteen million, four thousand, one hundred".