2011002560 has 112 divisors (see below), whose sum is σ = 5760963840. Its totient is φ = 653184000.

The previous prime is 2011002559. The next prime is 2011002571. The reversal of 2011002560 is 652001102.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18935 + ... + 66185.

Almost surely, 2^2011002560 is an apocalyptic number.

2011002560 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 2011002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880481920).

2011002560 is an abundant number, since it is smaller than the sum of its proper divisors (3749961280).

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

2011002560 is a wasteful number, since it uses less digits than its factorization.

2011002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47294 (or 47284 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2011002560 is about 44844.2031928320. The cubic root of 2011002560 is about 1262.2272189146.

Adding to 2011002560 its reverse (652001102), we get a palindrome (2663003662).

The spelling of 2011002560 in words is "two billion, eleven million, two thousand, five hundred sixty".