2164035163680 has 576 divisors, whose sum is σ = 8021888784000. Its totient is φ = 528079896576.

The previous prime is 2164035163663. The next prime is 2164035163681. The reversal of 2164035163680 is 863615304612.

2164035163680 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 3 + 5 + 1 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×2164035163680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2164035163681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1370509131 + ... + 1370510709.

It is an arithmetic number, because the mean of its divisors is an integer number (13926890250).

Almost surely, 2^{2164035163680} is an apocalyptic number.

2164035163680 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 2164035163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010944392000).

2164035163680 is an abundant number, since it is smaller than the sum of its proper divisors (5857853620320).

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

2164035163680 is a wasteful number, since it uses less digits than its factorization.

2164035163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2164035163680 in words is "two trillion, one hundred sixty-four billion, thirty-five million, one hundred sixty-three thousand, six hundred eighty".