2105222400 has 540 divisors, whose sum is σ = 8096398464. Its totient is φ = 539136000.

The previous prime is 2105222389. The next prime is 2105222443. The reversal of 2105222400 is 42225012.

2105222400 is a `hidden beast` number, since 210 + 52 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×2105222400² = 8863922706923520000, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 16070335 + ... + 16070465.

Almost surely, 2^2105222400 is an apocalyptic number.

2105222400 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 2105222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048199232).

2105222400 is an abundant number, since it is smaller than the sum of its proper divisors (5991176064).

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

2105222400 is a wasteful number, since it uses less digits than its factorization.

2105222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2105222400 is about 45882.7026231019. The cubic root of 2105222400 is about 1281.6398253836.

Adding to 2105222400 its reverse (42225012), we get a palindrome (2147447412).

The spelling of 2105222400 in words is "two billion, one hundred five million, two hundred twenty-two thousand, four hundred".