2102222304 has 288 divisors, whose sum is σ = 7512523200. Its totient is φ = 554093568.

The previous prime is 2102222299. The next prime is 2102222323. The reversal of 2102222304 is 4032222012.

2102222304 is a `hidden beast` number, since 210 + 222 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283374 + ... + 1285010.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^2102222304 is an apocalyptic number.

2102222304 is a gapful number since it is divisible by the number (24) 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 2102222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261600).

2102222304 is an abundant number, since it is smaller than the sum of its proper divisors (5410300896).

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

2102222304 is a wasteful number, since it uses less digits than its factorization.

2102222304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2102222304 is about 45849.9978625954. The cubic root of 2102222304 is about 1281.0307257702.

Adding to 2102222304 its reverse (4032222012), we get a palindrome (6134444316).

The spelling of 2102222304 in words is "two billion, one hundred two million, two hundred twenty-two thousand, three hundred four".