2210745600 has 324 divisors, whose sum is σ = 9034692576. Its totient is φ = 505221120.

The previous prime is 2210745583. The next prime is 2210745629. The reversal of 2210745600 is 65470122.

2210745600 is a `hidden beast` number, since 2 + 2 + 10 + 7 + 45 + 600 = 666.

It is a super-2 number, since 2×2210745600² = 9774792215838720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400459 + ... + 405941.

Almost surely, 2^2210745600 is an apocalyptic number.

2210745600 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 2210745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517346288).

2210745600 is an abundant number, since it is smaller than the sum of its proper divisors (6823946976).

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

2210745600 is a wasteful number, since it uses less digits than its factorization.

2210745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2210745600 is about 47018.5665455679. The cubic root of 2210745600 is about 1302.7055291190.

The spelling of 2210745600 in words is "two billion, two hundred ten million, seven hundred forty-five thousand, six hundred".