2210304096 has 864 divisors, whose sum is σ = 9223066944. Its totient is φ = 486604800.

The previous prime is 2210304059. The next prime is 2210304097. The reversal of 2210304096 is 6904030122.

2210304096 is a `hidden beast` number, since 221 + 0 + 30 + 409 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210304097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53909836 + ... + 53909876.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2^2210304096 is an apocalyptic number.

2210304096 is a gapful number since it is divisible by the number (26) 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 2210304096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611533472).

2210304096 is an abundant number, since it is smaller than the sum of its proper divisors (7012762848).

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

2210304096 is a wasteful number, since it uses less digits than its factorization.

2210304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2210304096 is about 47013.8713147514. The cubic root of 2210304096 is about 1302.6188030248.

The spelling of 2210304096 in words is "two billion, two hundred ten million, three hundred four thousand, ninety-six".