2010968960 has 512 divisors, whose sum is σ = 6695377920. Its totient is φ = 557383680.

The previous prime is 2010968957. The next prime is 2010968969. The reversal of 2010968960 is 698690102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010968969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27547484 + ... + 27547556.

It is an arithmetic number, because the mean of its divisors is an integer number (13076910).

Almost surely, 2^2010968960 is an apocalyptic number.

2010968960 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 2010968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347688960).

2010968960 is an abundant number, since it is smaller than the sum of its proper divisors (4684408960).

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

2010968960 is a wasteful number, since it uses less digits than its factorization.

2010968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 2010968960 is about 44843.8285609068. The cubic root of 2010968960 is about 1262.2201890759.

The spelling of 2010968960 in words is "two billion, ten million, nine hundred sixty-eight thousand, nine hundred sixty".