2218246400 has 54 divisors (see below), whose sum is σ = 5490522282. Its totient is φ = 887296000.

The previous prime is 2218246399. The next prime is 2218246403. The reversal of 2218246400 is 46428122.

It can be written as a sum of positive squares in 3 ways, for example, as 456933376 + 1761313024 = 21376^2 + 41968^2 .

It is a super-2 number, since 2×2218246400² = 9841234182225920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2218246403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166901 + ... + 179700.

Almost surely, 2^2218246400 is an apocalyptic number.

2218246400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2218246400 is an abundant number, since it is smaller than the sum of its proper divisors (3272275882).

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

2218246400 is an equidigital number, since it uses as much as digits as its factorization.

2218246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346627 (or 346608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2218246400 is about 47098.2632376184. The cubic root of 2218246400 is about 1304.1771749174.

The spelling of 2218246400 in words is "two billion, two hundred eighteen million, two hundred forty-six thousand, four hundred".