2120004440 has 96 divisors (see below), whose sum is σ = 4978266480. Its totient is φ = 812448000.

The previous prime is 2120004433. The next prime is 2120004449. The reversal of 2120004440 is 444000212.

2120004440 is a modest number, since divided by 4440 gives 2120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120004449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5035430 + ... + 5035850.

Almost surely, 2^2120004440 is an apocalyptic number.

2120004440 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 2120004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489133240).

2120004440 is an abundant number, since it is smaller than the sum of its proper divisors (2858262040).

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

2120004440 is a wasteful number, since it uses less digits than its factorization.

2120004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2120004440 is about 46043.5059481791. The cubic root of 2120004440 is about 1284.6325545302.

Adding to 2120004440 its reverse (444000212), we get a palindrome (2564004652).

The spelling of 2120004440 in words is "two billion, one hundred twenty million, four thousand, four hundred forty".