2021666400 has 216 divisors, whose sum is σ = 7677633600. Its totient is φ = 497617920.

The previous prime is 2021666377. The next prime is 2021666407. The reversal of 2021666400 is 46661202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021666407) 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 35 ways as a sum of consecutive naturals, for example, 82801 + ... + 104399.

It is an arithmetic number, because the mean of its divisors is an integer number (35544600).

Almost surely, 2^2021666400 is an apocalyptic number.

2021666400 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 2021666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838816800).

2021666400 is an abundant number, since it is smaller than the sum of its proper divisors (5655967200).

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

2021666400 is a wasteful number, since it uses less digits than its factorization.

2021666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2021666400 is about 44962.9447434218. The cubic root of 2021666400 is about 1264.4543778484.

The spelling of 2021666400 in words is "two billion, twenty-one million, six hundred sixty-six thousand, four hundred".