2243102400 has 1134 divisors, whose sum is σ = 10747395828. Its totient is φ = 438681600.

The previous prime is 2243102369. The next prime is 2243102419. The reversal of 2243102400 is 42013422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 131947192 + ... + 131947208.

Almost surely, 2^2243102400 is an apocalyptic number.

2243102400 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 2243102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373697914).

2243102400 is an abundant number, since it is smaller than the sum of its proper divisors (8504293428).

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

2243102400 is a wasteful number, since it uses less digits than its factorization.

2243102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2243102400 is about 47361.4020062751. The cubic root of 2243102400 is about 1309.0303023288.

Adding to 2243102400 its reverse (42013422), we get a palindrome (2285115822).

The spelling of 2243102400 in words is "two billion, two hundred forty-three million, one hundred two thousand, four hundred".