2042271072 has 216 divisors, whose sum is σ = 6167816928. Its totient is φ = 640673280.

The previous prime is 2042271067. The next prime is 2042271073. The reversal of 2042271072 is 2701722402.

It is a super-2 number, since 2×2042271072² = 8341742263056058368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042271073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13008018 + ... + 13008174.

It is an arithmetic number, because the mean of its divisors is an integer number (28554708).

Almost surely, 2^2042271072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083908464).

2042271072 is an abundant number, since it is smaller than the sum of its proper divisors (4125545856).

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

2042271072 is a wasteful number, since it uses less digits than its factorization.

2042271072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2042271072 is about 45191.4933588170. The cubic root of 2042271072 is about 1268.7356072946.

Adding to 2042271072 its reverse (2701722402), we get a palindrome (4743993474).

The spelling of 2042271072 in words is "two billion, forty-two million, two hundred seventy-one thousand, seventy-two".