2394106344100 has 81 divisors (see below), whose sum is σ = 5221837984321. Its totient is φ = 952759290400.

The previous prime is 2394106344067. The next prime is 2394106344107. The reversal of 2394106344100 is 14436014932.

The square root of 2394106344100 is 1547290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 861878283876 + 1532228060224 = 928374^2 + 1237832^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2394106344100.

It is not an unprimeable number, because it can be changed into a prime (2394106344107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5554770885 + ... + 5554771315.

Almost surely, 2^{2394106344100} is an apocalyptic number.

2394106344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2394106344100 is the 1547290-th square number.

It is an amenable number.

2394106344100 is an abundant number, since it is smaller than the sum of its proper divisors (2827731640221).

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

2394106344100 is an frugal number, since it uses more digits than its factorization.

2394106344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 2394106344100 in words is "two trillion, three hundred ninety-four billion, one hundred six million, three hundred forty-four thousand, one hundred".