2021160960 has 576 divisors, whose sum is σ = 8657288640. Its totient is φ = 424673280.

The previous prime is 2021160959. The next prime is 2021160961. The reversal of 2021160960 is 690611202.

It is an interprime number because it is at equal distance from previous prime (2021160959) and next prime (2021160961).

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021160961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386440 + ... + 8386680.

It is an arithmetic number, because the mean of its divisors is an integer number (15030015).

Almost surely, 2^2021160960 is an apocalyptic number.

2021160960 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 2021160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328644320).

2021160960 is an abundant number, since it is smaller than the sum of its proper divisors (6636127680).

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

2021160960 is a wasteful number, since it uses less digits than its factorization.

2021160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2021160960 is about 44957.3237637651. The cubic root of 2021160960 is about 1264.3489929888.

The spelling of 2021160960 in words is "two billion, twenty-one million, one hundred sixty thousand, nine hundred sixty".