2220442400 has 72 divisors (see below), whose sum is σ = 5913465264. Its totient is φ = 807430400.

The previous prime is 2220442397. The next prime is 2220442417. The reversal of 2220442400 is 42440222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117362 + ... + 134961.

It is an arithmetic number, because the mean of its divisors is an integer number (82131462).

Almost surely, 2^2220442400 is an apocalyptic number.

2220442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220442400 is an abundant number, since it is smaller than the sum of its proper divisors (3693022864).

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

2220442400 is a wasteful number, since it uses less digits than its factorization.

2220442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252354 (or 252341 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2220442400 is about 47121.5704322341. The cubic root of 2220442400 is about 1304.6073989166.

Adding to 2220442400 its reverse (42440222), we get a palindrome (2262882622).

The spelling of 2220442400 in words is "two billion, two hundred twenty million, four hundred forty-two thousand, four hundred".