2204962560 has 504 divisors, whose sum is σ = 8444867760. Its totient is φ = 549421056.

The previous prime is 2204962549. The next prime is 2204962567. The reversal of 2204962560 is 652694022.

2204962560 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 96 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204962567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15862971 + ... + 15863109.

It is an arithmetic number, because the mean of its divisors is an integer number (16755690).

Almost surely, 2^2204962560 is an apocalyptic number.

2204962560 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 2204962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222433880).

2204962560 is an abundant number, since it is smaller than the sum of its proper divisors (6239905200).

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

2204962560 is an equidigital number, since it uses as much as digits as its factorization.

2204962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2204962560 is about 46957.0288668267. The cubic root of 2204962560 is about 1301.5686311215.

The spelling of 2204962560 in words is "two billion, two hundred four million, nine hundred sixty-two thousand, five hundred sixty".