2205505302 has 128 divisors (see below), whose sum is σ = 6271147008. Its totient is φ = 497664000.

The previous prime is 2205505297. The next prime is 2205505339. The reversal of 2205505302 is 2035055022.

2205505302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2205505302² = 9728507274300222408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91302 + ... + 112902.

It is an arithmetic number, because the mean of its divisors is an integer number (48993336).

Almost surely, 2^2205505302 is an apocalyptic number.

2205505302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205505302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135573504).

2205505302 is an abundant number, since it is smaller than the sum of its proper divisors (4065641706).

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

2205505302 is a wasteful number, since it uses less digits than its factorization.

2205505302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2205505302 is about 46962.8076460511. The cubic root of 2205505302 is about 1301.6754141908.

The spelling of 2205505302 in words is "two billion, two hundred five million, five hundred five thousand, three hundred two".