2021606400 has 264 divisors, whose sum is σ = 7291970784. Its totient is φ = 489881600.

The previous prime is 2021606369. The next prime is 2021606417. The reversal of 2021606400 is 46061202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843604 + ... + 845996.

Almost surely, 2^2021606400 is an apocalyptic number.

2021606400 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 2021606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645985392).

2021606400 is an abundant number, since it is smaller than the sum of its proper divisors (5270364384).

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

2021606400 is a wasteful number, since it uses less digits than its factorization.

2021606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2021606400 is about 44962.2775223854. The cubic root of 2021606400 is about 1264.4418686937.

Adding to 2021606400 its reverse (46061202), we get a palindrome (2067667602).

The spelling of 2021606400 in words is "two billion, twenty-one million, six hundred six thousand, four hundred".