2204959680 has 672 divisors, whose sum is σ = 9669523968. Its totient is φ = 447897600.

The previous prime is 2204959637. The next prime is 2204959681. The reversal of 2204959680 is 869594022.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204959681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13527279 + ... + 13527441.

Almost surely, 2^2204959680 is an apocalyptic number.

2204959680 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 2204959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834761984).

2204959680 is an abundant number, since it is smaller than the sum of its proper divisors (7464564288).

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

2204959680 is a wasteful number, since it uses less digits than its factorization.

2204959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2204959680 is about 46956.9982004813. The cubic root of 2204959680 is about 1301.5680644423.

The spelling of 2204959680 in words is "two billion, two hundred four million, nine hundred fifty-nine thousand, six hundred eighty".