2010424320 has 176 divisors, whose sum is σ = 7145176320. Its totient is φ = 536076288.

The previous prime is 2010424313. The next prime is 2010424321. The reversal of 2010424320 is 234240102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010424293 and 2010424302.

It is not an unprimeable number, because it can be changed into a prime (2010424321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130969 + ... + 145511.

Almost surely, 2^2010424320 is an apocalyptic number.

2010424320 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 2010424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572588160).

2010424320 is an abundant number, since it is smaller than the sum of its proper divisors (5134752000).

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

2010424320 is a wasteful number, since it uses less digits than its factorization.

2010424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14577 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2010424320 is about 44837.7555192050. The cubic root of 2010424320 is about 1262.1062278149.

Adding to 2010424320 its reverse (234240102), we get a palindrome (2244664422).

The spelling of 2010424320 in words is "two billion, ten million, four hundred twenty-four thousand, three hundred twenty".