2224485340 has 192 divisors, whose sum is σ = 6096384000. Its totient is φ = 675494400.

The previous prime is 2224485337. The next prime is 2224485349. The reversal of 2224485340 is 435844222.

It is a junction number, because it is equal to n+sod(n) for n = 2224485296 and 2224485305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224485349) 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 63 ways as a sum of consecutive naturals, for example, 3093501 + ... + 3094219.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 2^2224485340 is an apocalyptic number.

2224485340 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 2224485340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192000).

2224485340 is an abundant number, since it is smaller than the sum of its proper divisors (3871898660).

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

2224485340 is a wasteful number, since it uses less digits than its factorization.

2224485340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 2224485340 is about 47164.4499596889. The cubic root of 2224485340 is about 1305.3987204216.

It can be divided in two parts, 22244 and 85340, that added together give a square (107584 = 328²).

The spelling of 2224485340 in words is "two billion, two hundred twenty-four million, four hundred eighty-five thousand, three hundred forty".