2122194816 has 432 divisors, whose sum is σ = 7648818840. Its totient is φ = 574428672.

The previous prime is 2122194803. The next prime is 2122194817. The reversal of 2122194816 is 6184912212.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122194817) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 111694455 + ... + 111694473.

Almost surely, 2^2122194816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824409420).

2122194816 is an abundant number, since it is smaller than the sum of its proper divisors (5526624024).

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

2122194816 is an frugal number, since it uses more digits than its factorization.

2122194816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2122194816 is about 46067.2857459608. The cubic root of 2122194816 is about 1285.0748271566.

The spelling of 2122194816 in words is "two billion, one hundred twenty-two million, one hundred ninety-four thousand, eight hundred sixteen".