2205047520 has 288 divisors, whose sum is σ = 8240660064. Its totient is φ = 533606400.

The previous prime is 2205047501. The next prime is 2205047521. The reversal of 2205047520 is 257405022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205047521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140955 + ... + 1142885.

It is an arithmetic number, because the mean of its divisors is an integer number (28613403).

Almost surely, 2^2205047520 is an apocalyptic number.

2205047520 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 2205047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120330032).

2205047520 is an abundant number, since it is smaller than the sum of its proper divisors (6035612544).

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

2205047520 is a wasteful number, since it uses less digits than its factorization.

2205047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2205047520 is about 46957.9335150089. The cubic root of 2205047520 is about 1301.5853479361.

The spelling of 2205047520 in words is "two billion, two hundred five million, forty-seven thousand, five hundred twenty".