2214541200 has 480 divisors, whose sum is σ = 8059484160. Its totient is φ = 517017600.

The previous prime is 2214541183. The next prime is 2214541249. The reversal of 2214541200 is 21454122.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21500349 + ... + 21500451.

It is an arithmetic number, because the mean of its divisors is an integer number (16790592).

Almost surely, 2^2214541200 is an apocalyptic number.

2214541200 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 2214541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029742080).

2214541200 is an abundant number, since it is smaller than the sum of its proper divisors (5844942960).

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

2214541200 is a wasteful number, since it uses less digits than its factorization.

2214541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2214541200 is about 47058.9120146227. The cubic root of 2214541200 is about 1303.4506355149.

Adding to 2214541200 its reverse (21454122), we get a palindrome (2235995322).

The spelling of 2214541200 in words is "two billion, two hundred fourteen million, five hundred forty-one thousand, two hundred".