2205802368 has 448 divisors, whose sum is σ = 8241045120. Its totient is φ = 571069440.

The previous prime is 2205802367. The next prime is 2205802393. The reversal of 2205802368 is 8632085022.

2205802368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205802363) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7184871 + ... + 7185177.

It is an arithmetic number, because the mean of its divisors is an integer number (18395190).

Almost surely, 2^2205802368 is an apocalyptic number.

2205802368 is a gapful number since it is divisible by the number (28) 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 2205802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120522560).

2205802368 is an abundant number, since it is smaller than the sum of its proper divisors (6035242752).

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

2205802368 is an equidigital number, since it uses as much as digits as its factorization.

2205802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2205802368 is about 46965.9703189448. The cubic root of 2205802368 is about 1301.7338537312.

The spelling of 2205802368 in words is "two billion, two hundred five million, eight hundred two thousand, three hundred sixty-eight".