2002211442 has 216 divisors, whose sum is σ = 5644721628. Its totient is φ = 510935040.

The previous prime is 2002211441. The next prime is 2002211447. The reversal of 2002211442 is 2441122002.

2002211442 is a `hidden beast` number, since 2 + 0 + 0 + 221 + 1 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1748159721 + 254051721 = 41811^2 + 15939^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7790578 + ... + 7790834.

Almost surely, 2^2002211442 is an apocalyptic number.

2002211442 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 2002211442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822360814).

2002211442 is an abundant number, since it is smaller than the sum of its proper divisors (3642510186).

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

2002211442 is a wasteful number, since it uses less digits than its factorization.

2002211442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

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

The square root of 2002211442 is about 44746.0773923257. The cubic root of 2002211442 is about 1260.3852525651.

Adding to 2002211442 its reverse (2441122002), we get a palindrome (4443333444).

It can be divided in two parts, 2002 and 211442, that added together give a square (213444 = 462²).

The spelling of 2002211442 in words is "two billion, two million, two hundred eleven thousand, four hundred forty-two".