2205883680 has 384 divisors, whose sum is σ = 9331531776. Its totient is φ = 423014400.

The previous prime is 2205883633. The next prime is 2205883697. The reversal of 2205883680 is 863885022.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 478185 + ... + 482775.

It is an arithmetic number, because the mean of its divisors is an integer number (24300864).

Almost surely, 2^2205883680 is an apocalyptic number.

2205883680 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 2205883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665765888).

2205883680 is an abundant number, since it is smaller than the sum of its proper divisors (7125648096).

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

2205883680 is a wasteful number, since it uses less digits than its factorization.

2205883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2205883680 is about 46966.8359590041. The cubic root of 2205883680 is about 1301.7498487095.

The spelling of 2205883680 in words is "two billion, two hundred five million, eight hundred eighty-three thousand, six hundred eighty".