2021222400 has 144 divisors (see below), whose sum is σ = 6682384800. Its totient is φ = 538951680.

The previous prime is 2021222393. The next prime is 2021222407. The reversal of 2021222400 is 42221202.

2021222400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2021222393) and next prime (2021222407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2021222400.

It is not an unprimeable number, because it can be changed into a prime (2021222407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147021 + ... + 160179.

It is an arithmetic number, because the mean of its divisors is an integer number (46405450).

Almost surely, 2^2021222400 is an apocalyptic number.

2021222400 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 2021222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341192400).

2021222400 is an abundant number, since it is smaller than the sum of its proper divisors (4661162400).

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

2021222400 is a wasteful number, since it uses less digits than its factorization.

2021222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2021222400 is about 44958.0070732678. The cubic root of 2021222400 is about 1264.3618042421.

Adding to 2021222400 its reverse (42221202), we get a palindrome (2063443602).

The spelling of 2021222400 in words is "two billion, twenty-one million, two hundred twenty-two thousand, four hundred".