2164433321620 has 96 divisors (see below), whose sum is σ = 4749292154880. Its totient is φ = 827548001280.

The previous prime is 2164433321573. The next prime is 2164433321629. The reversal of 2164433321620 is 261233344612.

It is a self number, because there is not a number n which added to its sum of digits gives 2164433321620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164433321629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34367760 + ... + 34430680.

It is an arithmetic number, because the mean of its divisors is an integer number (49471793280).

Almost surely, 2^{2164433321620} is an apocalyptic number.

2164433321620 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 2164433321620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374646077440).

2164433321620 is an abundant number, since it is smaller than the sum of its proper divisors (2584858833260).

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

2164433321620 is a wasteful number, since it uses less digits than its factorization.

2164433321620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63553 (or 63551 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 2164433321620 in words is "two trillion, one hundred sixty-four billion, four hundred thirty-three million, three hundred twenty-one thousand, six hundred twenty".