2114221824 has 720 divisors, whose sum is σ = 7977682944. Its totient is φ = 547430400.

The previous prime is 2114221763. The next prime is 2114221843. The reversal of 2114221824 is 4281224112.

2114221824 is a `hidden beast` number, since 211 + 422 + 1 + 8 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 68200689 + ... + 68200719.

Almost surely, 2^2114221824 is an apocalyptic number.

2114221824 is a gapful number since it is divisible by the number (24) 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 2114221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988841472).

2114221824 is an abundant number, since it is smaller than the sum of its proper divisors (5863461120).

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

2114221824 is a wasteful number, since it uses less digits than its factorization.

2114221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2114221824 is about 45980.6679377323. The cubic root of 2114221824 is about 1283.4634844707.

Adding to 2114221824 its reverse (4281224112), we get a palindrome (6395445936).

The spelling of 2114221824 in words is "two billion, one hundred fourteen million, two hundred twenty-one thousand, eight hundred twenty-four".