2010143120 has 80 divisors (see below), whose sum is σ = 4879710000. Its totient is φ = 769112064.

The previous prime is 2010143089. The next prime is 2010143123. The reversal of 2010143120 is 213410102.

It can be written as a sum of positive squares in 8 ways, for example, as 2027776 + 2008115344 = 1424^2 + 44812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2010143095 and 2010143104.

It is not an unprimeable number, because it can be changed into a prime (2010143123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248906 + ... + 256854.

It is an arithmetic number, because the mean of its divisors is an integer number (60996375).

Almost surely, 2^2010143120 is an apocalyptic number.

2010143120 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 2010143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439855000).

2010143120 is an abundant number, since it is smaller than the sum of its proper divisors (2869566880).

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

2010143120 is a wasteful number, since it uses less digits than its factorization.

2010143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2010143120 is about 44834.6196593659. The cubic root of 2010143120 is about 1262.0473810637.

Adding to 2010143120 its reverse (213410102), we get a palindrome (2223553222).

The spelling of 2010143120 in words is "two billion, ten million, one hundred forty-three thousand, one hundred twenty".