2220314450800 has 240 divisors, whose sum is σ = 5835987615744. Its totient is φ = 808128000000.

The previous prime is 2220314450797. The next prime is 2220314450813. The reversal of 2220314450800 is 80544130222.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242626225 + ... + 242635375.

Almost surely, 2^{2220314450800} is an apocalyptic number.

2220314450800 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 2220314450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917993807872).

2220314450800 is an abundant number, since it is smaller than the sum of its proper divisors (3615673164944).

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

2220314450800 is a wasteful number, since it uses less digits than its factorization.

2220314450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10357 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 2220314450800 in words is "two trillion, two hundred twenty billion, three hundred fourteen million, four hundred fifty thousand, eight hundred".