2164821120 has 512 divisors, whose sum is σ = 9564825600. Its totient is φ = 449556480.

The previous prime is 2164821119. The next prime is 2164821133. The reversal of 2164821120 is 211284612.

2164821120 is a `hidden beast` number, since 2 + 1 + 648 + 2 + 1 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329747 + ... + 1331373.

It is an arithmetic number, because the mean of its divisors is an integer number (18681300).

Almost surely, 2^2164821120 is an apocalyptic number.

2164821120 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 2164821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782412800).

2164821120 is an abundant number, since it is smaller than the sum of its proper divisors (7400004480).

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

2164821120 is a wasteful number, since it uses less digits than its factorization.

2164821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2164821120 is about 46527.6382379334. The cubic root of 2164821120 is about 1293.6218390164.

The spelling of 2164821120 in words is "two billion, one hundred sixty-four million, eight hundred twenty-one thousand, one hundred twenty".