2262200240000 has 320 divisors, whose sum is σ = 5770422123840. Its totient is φ = 882705408000.

The previous prime is 2262200239987. The next prime is 2262200240009. The reversal of 2262200240000 is 420022622.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262200240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1402479194 + ... + 1402480806.

It is an arithmetic number, because the mean of its divisors is an integer number (18032569137).

Almost surely, 2^{2262200240000} is an apocalyptic number.

2262200240000 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 2262200240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885211061920).

2262200240000 is an abundant number, since it is smaller than the sum of its proper divisors (3508221883840).

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

2262200240000 is an equidigital number, since it uses as much as digits as its factorization.

2262200240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2262200240000 its reverse (420022622), we get a palindrome (2262620262622).

The spelling of 2262200240000 in words is "two trillion, two hundred sixty-two billion, two hundred million, two hundred forty thousand".