2204616120 has 256 divisors, whose sum is σ = 7749181440. Its totient is φ = 491401728.

The previous prime is 2204616061. The next prime is 2204616121. The reversal of 2204616120 is 216164022.

2204616120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204616121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7181007 + ... + 7181313.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^2204616120 is an apocalyptic number.

2204616120 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 2204616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2204616120 is an abundant number, since it is smaller than the sum of its proper divisors (5544565320).

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

2204616120 is a wasteful number, since it uses less digits than its factorization.

2204616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2204616120 is about 46953.3398173123. The cubic root of 2204616120 is about 1301.5004607948.

The spelling of 2204616120 in words is "two billion, two hundred four million, six hundred sixteen thousand, one hundred twenty".