2021728410 has 192 divisors, whose sum is σ = 5920767360. Its totient is φ = 496746432.

The previous prime is 2021728399. The next prime is 2021728439. The reversal of 2021728410 is 148271202.

It is a super-2 number, since 2×2021728410² = 8174771527602256200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3695757 + ... + 3696303.

It is an arithmetic number, because the mean of its divisors is an integer number (30837330).

Almost surely, 2^2021728410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021728410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960383680).

2021728410 is an abundant number, since it is smaller than the sum of its proper divisors (3899038950).

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

2021728410 is an equidigital number, since it uses as much as digits as its factorization.

2021728410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2021728410 is about 44963.6343059589. The cubic root of 2021728410 is about 1264.4673057997.

Adding to 2021728410 its reverse (148271202), we get a palindrome (2169999612).

The spelling of 2021728410 in words is "two billion, twenty-one million, seven hundred twenty-eight thousand, four hundred ten".