2219736440320 has 240 divisors, whose sum is σ = 6260684134320. Its totient is φ = 752497557504.

The previous prime is 2219736440287. The next prime is 2219736440323. The reversal of 2219736440320 is 230446379122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219736440323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11064747 + ... + 11263573.

It is an arithmetic number, because the mean of its divisors is an integer number (26086183893).

Almost surely, 2^{2219736440320} is an apocalyptic number.

2219736440320 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 2219736440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130342067160).

2219736440320 is an abundant number, since it is smaller than the sum of its proper divisors (4040947694000).

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

2219736440320 is an equidigital number, since it uses as much as digits as its factorization.

2219736440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198953 (or 198930 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 2219736440320 in words is "two trillion, two hundred nineteen billion, seven hundred thirty-six million, four hundred forty thousand, three hundred twenty".