2212901600 has 288 divisors, whose sum is σ = 6732694080. Its totient is φ = 691568640.

The previous prime is 2212901597. The next prime is 2212901629. The reversal of 2212901600 is 61092122.

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, 8226266 + ... + 8226534.

It is an arithmetic number, because the mean of its divisors is an integer number (23377410).

Almost surely, 2^2212901600 is an apocalyptic number.

2212901600 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 2212901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366347040).

2212901600 is an abundant number, since it is smaller than the sum of its proper divisors (4519792480).

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

2212901600 is a wasteful number, since it uses less digits than its factorization.

2212901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2212901600 is about 47041.4880717011. The cubic root of 2212901600 is about 1303.1288735611.

Adding to 2212901600 its reverse (61092122), we get a palindrome (2273993722).

The spelling of 2212901600 in words is "two billion, two hundred twelve million, nine hundred one thousand, six hundred".