2220141790900 has 288 divisors, whose sum is σ = 5401904256000. Its totient is φ = 785277849600.

The previous prime is 2220141790897. The next prime is 2220141790901. The reversal of 2220141790900 is 90971410222.

It is a self number, because there is not a number n which added to its sum of digits gives 2220141790900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220141790901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1586948401 + ... + 1586949799.

It is an arithmetic number, because the mean of its divisors is an integer number (18756612000).

Almost surely, 2^{2220141790900} is an apocalyptic number.

2220141790900 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 2220141790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700952128000).

2220141790900 is an abundant number, since it is smaller than the sum of its proper divisors (3181762465100).

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

2220141790900 is a wasteful number, since it uses less digits than its factorization.

2220141790900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 2220141790900 in words is "two trillion, two hundred twenty billion, one hundred forty-one million, seven hundred ninety thousand, nine hundred".