2164231680 has 320 divisors, whose sum is σ = 7610137920. Its totient is φ = 521404416.

The previous prime is 2164231669. The next prime is 2164231681. The reversal of 2164231680 is 861324612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164231681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5291316 + ... + 5291724.

It is an arithmetic number, because the mean of its divisors is an integer number (23781681).

Almost surely, 2^2164231680 is an apocalyptic number.

2164231680 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 2164231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805068960).

2164231680 is an abundant number, since it is smaller than the sum of its proper divisors (5445906240).

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

2164231680 is a wasteful number, since it uses less digits than its factorization.

2164231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2164231680 is about 46521.3035071031. The cubic root of 2164231680 is about 1293.5044187415.

The spelling of 2164231680 in words is "two billion, one hundred sixty-four million, two hundred thirty-one thousand, six hundred eighty".