2120021442 has 96 divisors (see below), whose sum is σ = 5779762560. Its totient is φ = 545564160.

The previous prime is 2120021429. The next prime is 2120021461. The reversal of 2120021442 is 2441200212.

2120021442 is a `hidden beast` number, since 2 + 1 + 200 + 21 + 442 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144058 + ... + 158090.

It is an arithmetic number, because the mean of its divisors is an integer number (60205860).

Almost surely, 2^2120021442 is an apocalyptic number.

2120021442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120021442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889881280).

2120021442 is an abundant number, since it is smaller than the sum of its proper divisors (3659741118).

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

2120021442 is a wasteful number, since it uses less digits than its factorization.

2120021442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14168 (or 14165 counting only the distinct ones).

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

The square root of 2120021442 is about 46043.6905775373. The cubic root of 2120021442 is about 1284.6359886840.

Adding to 2120021442 its reverse (2441200212), we get a palindrome (4561221654).

It can be divided in two parts, 212002 and 1442, that added together give a square (213444 = 462²).

The spelling of 2120021442 in words is "two billion, one hundred twenty million, twenty-one thousand, four hundred forty-two".