2230205344050 has 96 divisors (see below), whose sum is σ = 5861631956544. Its totient is φ = 559224064000.

The previous prime is 2230205343991. The next prime is 2230205344069. The reversal of 2230205344050 is 504435020322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2230205343999 and 2230205344017.

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 47 ways as a sum of consecutive naturals, for example, 2381230 + ... + 3182870.

It is an arithmetic number, because the mean of its divisors is an integer number (61058666214).

Almost surely, 2^{2230205344050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230205344050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930815978272).

2230205344050 is an abundant number, since it is smaller than the sum of its proper divisors (3631426612494).

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

2230205344050 is a wasteful number, since it uses less digits than its factorization.

2230205344050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802764 (or 802759 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 2230205344050 in words is "two trillion, two hundred thirty billion, two hundred five million, three hundred forty-four thousand, fifty".