2021365728 has 144 divisors (see below), whose sum is σ = 5902225056. Its totient is φ = 655948800.

The previous prime is 2021365727. The next prime is 2021365733. The reversal of 2021365728 is 8275631202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2021365692 and 2021365701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021365727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2304426 + ... + 2305302.

It is an arithmetic number, because the mean of its divisors is an integer number (40987674).

Almost surely, 2^2021365728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951112528).

2021365728 is an abundant number, since it is smaller than the sum of its proper divisors (3880859328).

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

2021365728 is a wasteful number, since it uses less digits than its factorization.

2021365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2021365728 is about 44959.6010658458. The cubic root of 2021365728 is about 1264.3916894847.

The spelling of 2021365728 in words is "two billion, twenty-one million, three hundred sixty-five thousand, seven hundred twenty-eight".