2220793344 has 360 divisors, whose sum is σ = 8065577520. Its totient is φ = 575815680.

The previous prime is 2220793343. The next prime is 2220793361. The reversal of 2220793344 is 4433970222.

It is a happy number.

2220793344 is a `hidden beast` number, since 2 + 220 + 7 + 93 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2220793299 and 2220793308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220793343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3902692 + ... + 3903260.

It is an arithmetic number, because the mean of its divisors is an integer number (22404382).

Almost surely, 2^2220793344 is an apocalyptic number.

2220793344 is a gapful number since it is divisible by the number (24) 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 2220793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032788760).

2220793344 is an abundant number, since it is smaller than the sum of its proper divisors (5844784176).

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

2220793344 is a wasteful number, since it uses less digits than its factorization.

2220793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2220793344 is about 47125.2940998780. The cubic root of 2220793344 is about 1304.6761269652.

The spelling of 2220793344 in words is "two billion, two hundred twenty million, seven hundred ninety-three thousand, three hundred forty-four".