2216024100 has 108 divisors (see below), whose sum is σ = 6958177044. Its totient is φ = 589904640.

The previous prime is 2216024081. The next prime is 2216024101. The reversal of 2216024100 is 14206122.

2216024100 is a `hidden beast` number, since 2 + 21 + 602 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21288996 + 2194735104 = 4614^2 + 46848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2216024101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607482 + ... + 611118.

Almost surely, 2^2216024100 is an apocalyptic number.

2216024100 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 2216024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479088522).

2216024100 is an abundant number, since it is smaller than the sum of its proper divisors (4742152944).

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

2216024100 is a wasteful number, since it uses less digits than its factorization.

2216024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2216024100 is about 47074.6651607847. The cubic root of 2216024100 is about 1303.7415092596.

The spelling of 2216024100 in words is "two billion, two hundred sixteen million, twenty-four thousand, one hundred".