2164636124000 has 384 divisors, whose sum is σ = 6122821985280. Its totient is φ = 736750080000.

The previous prime is 2164636123987. The next prime is 2164636124009. The reversal of 2164636124000 is 4216364612.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164636124009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3601723700 + ... + 3601724300.

It is an arithmetic number, because the mean of its divisors is an integer number (15944848920).

Almost surely, 2^{2164636124000} is an apocalyptic number.

2164636124000 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 2164636124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061410992640).

2164636124000 is an abundant number, since it is smaller than the sum of its proper divisors (3958185861280).

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

2164636124000 is a wasteful number, since it uses less digits than its factorization.

2164636124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 2164636124000 in words is "two trillion, one hundred sixty-four billion, six hundred thirty-six million, one hundred twenty-four thousand".