2208824820 has 72 divisors (see below), whose sum is σ = 6826548456. Its totient is φ = 577903872.

The previous prime is 2208824819. The next prime is 2208824843. The reversal of 2208824820 is 284288022.

It can be written as a sum of positive squares in 4 ways, for example, as 26440164 + 2182384656 = 5142^2 + 46716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106227 + ... + 125306.

It is an arithmetic number, because the mean of its divisors is an integer number (94813173).

Almost surely, 2^2208824820 is an apocalyptic number.

2208824820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2208824820 is an abundant number, since it is smaller than the sum of its proper divisors (4617723636).

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

2208824820 is a wasteful number, since it uses less digits than its factorization.

2208824820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231601 (or 231596 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2208824820 is about 46998.1363460297. The cubic root of 2208824820 is about 1302.3281397369.

The spelling of 2208824820 in words is "two billion, two hundred eight million, eight hundred twenty-four thousand, eight hundred twenty".