2212829850 has 144 divisors (see below), whose sum is σ = 6894183744. Its totient is φ = 459782400.

The previous prime is 2212829789. The next prime is 2212829887. The reversal of 2212829850 is 589282122.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2212829799 and 2212829808.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118342 + ... + 135758.

It is an arithmetic number, because the mean of its divisors is an integer number (47876276).

Almost surely, 2^2212829850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212829850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447091872).

2212829850 is an abundant number, since it is smaller than the sum of its proper divisors (4681353894).

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

2212829850 is a wasteful number, since it uses less digits than its factorization.

2212829850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17461 (or 17445 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2212829850 is about 47040.7254408348. The cubic root of 2212829850 is about 1303.1147894121.

It can be divided in two parts, 221282 and 9850, that added together give a palindrome (231132).

The spelling of 2212829850 in words is "two billion, two hundred twelve million, eight hundred twenty-nine thousand, eight hundred fifty".