2220005095000 has 640 divisors, whose sum is σ = 6984014400000. Its totient is φ = 640097280000.

The previous prime is 2220005094947. The next prime is 2220005095003. The reversal of 2220005095000 is 5905000222.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220005095003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 386152126 + ... + 386157874.

It is an arithmetic number, because the mean of its divisors is an integer number (10912522500).

Almost surely, 2^{2220005095000} is an apocalyptic number.

2220005095000 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 2220005095000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492007200000).

2220005095000 is an abundant number, since it is smaller than the sum of its proper divisors (4764009305000).

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

2220005095000 is a wasteful number, since it uses less digits than its factorization.

2220005095000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 2220005095000 in words is "two trillion, two hundred twenty billion, five million, ninety-five thousand".