2120440212 has 108 divisors (see below), whose sum is σ = 6056808576. Its totient is φ = 620303040.

The previous prime is 2120440199. The next prime is 2120440247.

2120440212 is a `hidden beast` number, since 2 + 12 + 0 + 440 + 212 = 666.

2120440212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 329853 + ... + 336219.

Almost surely, 2^2120440212 is an apocalyptic number.

2120440212 is a gapful number since it is divisible by the number (22) 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 2120440212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028404288).

2120440212 is an abundant number, since it is smaller than the sum of its proper divisors (3936368364).

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

2120440212 is a wasteful number, since it uses less digits than its factorization.

2120440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120440212 is about 46048.2378815954. The cubic root of 2120440212 is about 1284.7205682681.

It can be divided in two parts, 21204 and 40212, that added together give a palindrome (61416).

The spelling of 2120440212 in words is "two billion, one hundred twenty million, four hundred forty thousand, two hundred twelve".