2234410020000 has 720 divisors, whose sum is σ = 8229620959560. Its totient is φ = 574414848000.

The previous prime is 2234410019953. The next prime is 2234410020023. The reversal of 2234410020000 is 200144322.

2234410020000 is a `hidden beast` number, since 2 + 23 + 441 + 0 + 0 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1825644154896 + 408765865104 = 1351164^2 + 639348^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 752578516 + ... + 752581484.

Almost surely, 2^{2234410020000} is an apocalyptic number.

2234410020000 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 2234410020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114810479780).

2234410020000 is an abundant number, since it is smaller than the sum of its proper divisors (5995210939560).

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

2234410020000 is a wasteful number, since it uses less digits than its factorization.

2234410020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2234410020000 its reverse (200144322), we get a palindrome (2234610164322).

The spelling of 2234410020000 in words is "two trillion, two hundred thirty-four billion, four hundred ten million, twenty thousand".