2164521607680 has 320 divisors, whose sum is σ = 6964897218048. Its totient is φ = 573449502720.

The previous prime is 2164521607679. The next prime is 2164521607681. The reversal of 2164521607680 is 867061254612.

It is an interprime number because it is at equal distance from previous prime (2164521607679) and next prime (2164521607681).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2164521607680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2164521607681) 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, 825836770 + ... + 825839390.

Almost surely, 2^{2164521607680} is an apocalyptic number.

2164521607680 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 2164521607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482448609024).

2164521607680 is an abundant number, since it is smaller than the sum of its proper divisors (4800375610368).

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

2164521607680 is a wasteful number, since it uses less digits than its factorization.

2164521607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2164521607680 in words is "two trillion, one hundred sixty-four billion, five hundred twenty-one million, six hundred seven thousand, six hundred eighty".