2010263072 has 48 divisors (see below), whose sum is σ = 4101229440. Its totient is φ = 969276672.

The previous prime is 2010263063. The next prime is 2010263077. The reversal of 2010263072 is 2703620102.

It is a super-3 number, since 3×2010263072³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010263077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99458 + ... + 117950.

It is an arithmetic number, because the mean of its divisors is an integer number (85442280).

Almost surely, 2^2010263072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010263072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050614720).

2010263072 is an abundant number, since it is smaller than the sum of its proper divisors (2090966368).

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

2010263072 is a wasteful number, since it uses less digits than its factorization.

2010263072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18625 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2010263072 is about 44835.9573556760. The cubic root of 2010263072 is about 1262.0724841015.

Adding to 2010263072 its reverse (2703620102), we get a palindrome (4713883174).

The spelling of 2010263072 in words is "two billion, ten million, two hundred sixty-three thousand, seventy-two".