2001005010 has 24 divisors (see below), whose sum is σ = 5202613260. Its totient is φ = 533601312.

The previous prime is 2001005003. The next prime is 2001005033. The reversal of 2001005010 is 105001002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1982831841 + 18173169 = 44529^2 + 4263^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001004983 and 2001005001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11116605 + ... + 11116784.

Almost surely, 2^2001005010 is an apocalyptic number.

2001005010 is an abundant number, since it is smaller than the sum of its proper divisors (3201608250).

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

2001005010 is a wasteful number, since it uses less digits than its factorization.

2001005010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22233402 (or 22233399 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2001005010 is about 44732.5944921597. The cubic root of 2001005010 is about 1260.1320534311.

Adding to 2001005010 its reverse (105001002), we get a palindrome (2106006012).

The spelling of 2001005010 in words is "two billion, one million, five thousand, ten".