2010861072 has 160 divisors (see below), whose sum is σ = 6450837120. Its totient is φ = 594432000.

The previous prime is 2010861059. The next prime is 2010861091. The reversal of 2010861072 is 2701680102.

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

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 31 ways as a sum of consecutive naturals, for example, 189672 + ... + 199992.

It is an arithmetic number, because the mean of its divisors is an integer number (40317732).

Almost surely, 2^2010861072 is an apocalyptic number.

2010861072 is a gapful number since it is divisible by the number (22) 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 2010861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225418560).

2010861072 is an abundant number, since it is smaller than the sum of its proper divisors (4439976048).

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

2010861072 is a wasteful number, since it uses less digits than its factorization.

2010861072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2010861072 is about 44842.6256144753. The cubic root of 2010861072 is about 1262.1976160693.

The spelling of 2010861072 in words is "two billion, ten million, eight hundred sixty-one thousand, seventy-two".