2164610044000 has 96 divisors (see below), whose sum is σ = 5326240491936. Its totient is φ = 864575219200.

The previous prime is 2164610043989. The next prime is 2164610044027. The reversal of 2164610044000 is 4400164612.

It is a self number, because there is not a number n which added to its sum of digits gives 2164610044000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335842 + ... + 3128158.

It is an arithmetic number, because the mean of its divisors is an integer number (55481671791).

Almost surely, 2^{2164610044000} is an apocalyptic number.

2164610044000 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 2164610044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663120245968).

2164610044000 is an abundant number, since it is smaller than the sum of its proper divisors (3161630447936).

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

2164610044000 is an equidigital number, since it uses as much as digits as its factorization.

2164610044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793025 (or 793007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 2164610044000 in words is "two trillion, one hundred sixty-four billion, six hundred ten million, forty-four thousand".