2001140960 has 192 divisors, whose sum is σ = 5860657152. Its totient is φ = 628770816.

The previous prime is 2001140957. The next prime is 2001140983. The reversal of 2001140960 is 690411002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2431109 + ... + 2431931.

It is an arithmetic number, because the mean of its divisors is an integer number (30524256).

Almost surely, 2^2001140960 is an apocalyptic number.

2001140960 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 2001140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930328576).

2001140960 is an abundant number, since it is smaller than the sum of its proper divisors (3859516192).

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

2001140960 is a wasteful number, since it uses less digits than its factorization.

2001140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2001140960 is about 44734.1140518061. The cubic root of 2001140960 is about 1260.1605909364.

Adding to 2001140960 its reverse (690411002), we get a palindrome (2691551962).

The spelling of 2001140960 in words is "two billion, one million, one hundred forty thousand, nine hundred sixty".