2420000320 has 112 divisors (see below), whose sum is σ = 6119914608. Its totient is φ = 908328960.

The previous prime is 2420000287. The next prime is 2420000321. The reversal of 2420000320 is 230000242.

It can be written as a sum of positive squares in 8 ways, for example, as 51036736 + 2368963584 = 7144^2 + 48672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2420000320.

It is not an unprimeable number, because it can be changed into a prime (2420000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3595504 + ... + 3596176.

Almost surely, 2^2420000320 is an apocalyptic number.

2420000320 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 2420000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059957304).

2420000320 is an abundant number, since it is smaller than the sum of its proper divisors (3699914288).

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

2420000320 is a wasteful number, since it uses less digits than its factorization.

2420000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2420000320 is about 49193.4987574578. The cubic root of 2420000320 is about 1342.5747480942.

Adding to 2420000320 its reverse (230000242), we get a palindrome (2650000562).

The spelling of 2420000320 in words is "two billion, four hundred twenty million, three hundred twenty", and thus it is an aban number.