2110424452900 has 81 divisors (see below), whose sum is σ = 4669362871033. Its totient is φ = 827939881600.

The previous prime is 2110424452897. The next prime is 2110424453023. The reversal of 2110424452900 is 92544240112.

The square root of 2110424452900 is 1452730.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1312889722596 + 797534730304 = 1145814^2 + 893048^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 769945530 + ... + 769948270.

Almost surely, 2^{2110424452900} is an apocalyptic number.

2110424452900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2110424452900 is the 1452730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110424452900

2110424452900 is an abundant number, since it is smaller than the sum of its proper divisors (2558938418133).

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

2110424452900 is an frugal number, since it uses more digits than its factorization.

2110424452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 2110424452900 in words is "two trillion, one hundred ten billion, four hundred twenty-four million, four hundred fifty-two thousand, nine hundred".