2220251552000 has 144 divisors (see below), whose sum is σ = 5562908677872. Its totient is φ = 882964889600.

The previous prime is 2220251551997. The next prime is 2220251552003. The reversal of 2220251552000 is 2551520222.

It is an interprime number because it is at equal distance from previous prime (2220251551997) and next prime (2220251552003).

It can be written as a sum of positive squares in 8 ways, for example, as 968287488256 + 1251964063744 = 984016^2 + 1118912^2 .

It is not an unprimeable number, because it can be changed into a prime (2220251552003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5335472 + ... + 5736528.

It is an arithmetic number, because the mean of its divisors is an integer number (38631310263).

Almost surely, 2^{2220251552000} is an apocalyptic number.

2220251552000 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 2220251552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781454338936).

2220251552000 is an abundant number, since it is smaller than the sum of its proper divisors (3342657125872).

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

2220251552000 is an equidigital number, since it uses as much as digits as its factorization.

2220251552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401261 (or 401237 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 2220251552000 in words is "two trillion, two hundred twenty billion, two hundred fifty-one million, five hundred fifty-two thousand".