2122004000 has 48 divisors (see below), whose sum is σ = 5213773656. Its totient is φ = 848800000.

The previous prime is 2122003981. The next prime is 2122004029. The reversal of 2122004000 is 4002212.

It can be written as a sum of positive squares in 4 ways, for example, as 362369296 + 1759634704 = 19036^2 + 41948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261251 + ... + 269250.

Almost surely, 2^2122004000 is an apocalyptic number.

2122004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122004000 is an abundant number, since it is smaller than the sum of its proper divisors (3091769656).

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

2122004000 is an equidigital number, since it uses as much as digits as its factorization.

2122004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530526 (or 530508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2122004000 is about 46065.2146418531. The cubic root of 2122004000 is about 1285.0363103993.

Adding to 2122004000 its reverse (4002212), we get a palindrome (2126006212).

The spelling of 2122004000 in words is "two billion, one hundred twenty-two million, four thousand".