2205779520 has 224 divisors, whose sum is σ = 8136550656. Its totient is φ = 495820800.

The previous prime is 2205779509. The next prime is 2205779539. The reversal of 2205779520 is 259775022.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407230 + ... + 412610.

Almost surely, 2^2205779520 is an apocalyptic number.

2205779520 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 2205779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068275328).

2205779520 is an abundant number, since it is smaller than the sum of its proper divisors (5930771136).

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

2205779520 is a wasteful number, since it uses less digits than its factorization.

2205779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 2205779520 is about 46965.7270783707. The cubic root of 2205779520 is about 1301.7293592038.

The spelling of 2205779520 in words is "two billion, two hundred five million, seven hundred seventy-nine thousand, five hundred twenty".