2253222400 has 240 divisors, whose sum is σ = 6563829888. Its totient is φ = 755712000.

The previous prime is 2253222397. The next prime is 2253222421. The reversal of 2253222400 is 42223522.

It is a happy number.

It is a super-2 number, since 2×2253222400² = 10154022367723520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1829785 + ... + 1831015.

Almost surely, 2^2253222400 is an apocalyptic number.

2253222400 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 2253222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281914944).

2253222400 is an abundant number, since it is smaller than the sum of its proper divisors (4310607488).

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

2253222400 is a wasteful number, since it uses less digits than its factorization.

2253222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2253222400 is about 47468.1198279435. The cubic root of 2253222400 is about 1310.9959599679.

Adding to 2253222400 its reverse (42223522), we get a palindrome (2295445922).

It can be divided in two parts, 225322 and 2400, that added together give a palindrome (227722).

The spelling of 2253222400 in words is "two billion, two hundred fifty-three million, two hundred twenty-two thousand, four hundred".