2219693827050 has 576 divisors, whose sum is σ = 7141222932480. Its totient is φ = 483605821440.

The previous prime is 2219693827027. The next prime is 2219693827123. The reversal of 2219693827050 is 507283969122.

2219693827050 is a `hidden beast` number, since 2 + 2 + 196 + 9 + 382 + 70 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3399224524 + ... + 3399225176.

It is an arithmetic number, because the mean of its divisors is an integer number (12397956480).

Almost surely, 2^{2219693827050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219693827050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570611466240).

2219693827050 is an abundant number, since it is smaller than the sum of its proper divisors (4921529105430).

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

2219693827050 is a wasteful number, since it uses less digits than its factorization.

2219693827050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2219693827050 in words is "two trillion, two hundred nineteen billion, six hundred ninety-three million, eight hundred twenty-seven thousand, fifty".