2242252800 has 312 divisors, whose sum is σ = 8247354080. Its totient is φ = 597196800.

The previous prime is 2242252763. The next prime is 2242252841. The reversal of 2242252800 is 82522422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764395 + ... + 2765205.

Almost surely, 2^2242252800 is an apocalyptic number.

2242252800 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 2242252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123677040).

2242252800 is an abundant number, since it is smaller than the sum of its proper divisors (6005101280).

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

2242252800 is an equidigital number, since it uses as much as digits as its factorization.

2242252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2242252800 is about 47352.4318277319. The cubic root of 2242252800 is about 1308.8650115263.

The spelling of 2242252800 in words is "two billion, two hundred forty-two million, two hundred fifty-two thousand, eight hundred".