2010006792 has 128 divisors (see below), whose sum is σ = 5738304000. Its totient is φ = 651551040.

The previous prime is 2010006773. The next prime is 2010006793. The reversal of 2010006792 is 2976000102.

It is a super-2 number, since 2×2010006792² = 8080254607772262528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2010006793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3519867 + ... + 3520437.

It is an arithmetic number, because the mean of its divisors is an integer number (44830500).

Almost surely, 2^2010006792 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 2010006792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869152000).

2010006792 is an abundant number, since it is smaller than the sum of its proper divisors (3728297208).

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

2010006792 is a wasteful number, since it uses less digits than its factorization.

2010006792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2010006792 is about 44833.0992905911. The cubic root of 2010006792 is about 1262.0188497146.

Adding to 2010006792 its reverse (2976000102), we get a palindrome (4986006894).

The spelling of 2010006792 in words is "two billion, ten million, six thousand, seven hundred ninety-two".