2021732960 has 192 divisors, whose sum is σ = 5337892224. Its totient is φ = 718848000.

The previous prime is 2021732929. The next prime is 2021732969. The reversal of 2021732960 is 692371202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021732969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12877202 + ... + 12877358.

It is an arithmetic number, because the mean of its divisors is an integer number (27801522).

Almost surely, 2^2021732960 is an apocalyptic number.

2021732960 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 2021732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668946112).

2021732960 is an abundant number, since it is smaller than the sum of its proper divisors (3316159264).

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

2021732960 is a wasteful number, since it uses less digits than its factorization.

2021732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2021732960 is about 44963.6849023743. The cubic root of 2021732960 is about 1264.4682543811.

The spelling of 2021732960 in words is "two billion, twenty-one million, seven hundred thirty-two thousand, nine hundred sixty".