2010000960 has 224 divisors, whose sum is σ = 7735824000. Its totient is φ = 487249920.

The previous prime is 2010000953. The next prime is 2010000961. The reversal of 2010000960 is 690000102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2010000961) 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, 84466 + ... + 105614.

Almost surely, 2^2010000960 is an apocalyptic number.

2010000960 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 2010000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867912000).

2010000960 is an abundant number, since it is smaller than the sum of its proper divisors (5725823040).

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

2010000960 is a wasteful number, since it uses less digits than its factorization.

2010000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21186 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2010000960 is about 44833.0342493122. The cubic root of 2010000960 is about 1262.0176291382.

The spelling of 2010000960 in words is "two billion, ten million, nine hundred sixty", and thus it is an aban number.