2218132800 has 756 divisors, whose sum is σ = 9238989396. Its totient is φ = 501350400.

The previous prime is 2218132799. The next prime is 2218132859. The reversal of 2218132800 is 82318122.

It can be written as a sum of positive squares in 18 ways, for example, as 1778140224 + 439992576 = 42168^2 + 20976^2 .

It is a super-2 number, since 2×2218132800² = 9840226236871680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 54100780 + ... + 54100820.

Almost surely, 2^2218132800 is an apocalyptic number.

2218132800 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 2218132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619494698).

2218132800 is an abundant number, since it is smaller than the sum of its proper divisors (7020856596).

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

2218132800 is a wasteful number, since it uses less digits than its factorization.

2218132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2218132800 is about 47097.0572329100. The cubic root of 2218132800 is about 1304.1549115271.

The spelling of 2218132800 in words is "two billion, two hundred eighteen million, one hundred thirty-two thousand, eight hundred".