2216205024 has 144 divisors (see below), whose sum is σ = 6461214480. Its totient is φ = 664576000.

The previous prime is 2216204927. The next prime is 2216205031. The reversal of 2216205024 is 4205026122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2216204985 and 2216205003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1172272 + ... + 1174160.

It is an arithmetic number, because the mean of its divisors is an integer number (44869545).

Almost surely, 2^2216205024 is an apocalyptic number.

2216205024 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 2216205024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230607240).

2216205024 is an abundant number, since it is smaller than the sum of its proper divisors (4245009456).

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

2216205024 is a wasteful number, since it uses less digits than its factorization.

2216205024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2216205024 is about 47076.5867921624. The cubic root of 2216205024 is about 1303.7769889745.

The spelling of 2216205024 in words is "two billion, two hundred sixteen million, two hundred five thousand, twenty-four".