2214264000 has 448 divisors, whose sum is σ = 8094707712. Its totient is φ = 529920000.

The previous prime is 2214263963. The next prime is 2214264011. The reversal of 2214264000 is 4624122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14663925 + ... + 14664075.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544).

Almost surely, 2^2214264000 is an apocalyptic number.

2214264000 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 2214264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047353856).

2214264000 is an abundant number, since it is smaller than the sum of its proper divisors (5880443712).

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

2214264000 is a wasteful number, since it uses less digits than its factorization.

2214264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2214264000 is about 47055.9666779889. The cubic root of 2214264000 is about 1303.3962477869.

Adding to 2214264000 its reverse (4624122), we get a palindrome (2218888122).

The spelling of 2214264000 in words is "two billion, two hundred fourteen million, two hundred sixty-four thousand".