2082567042 has 48 divisors (see below), whose sum is σ = 4673340672. Its totient is φ = 669552480.

The previous prime is 2082567017. The next prime is 2082567043. The reversal of 2082567042 is 2407652802.

It is a junction number, because it is equal to n+sod(n) for n = 2082566988 and 2082567006.

It is not an unprimeable number, because it can be changed into a prime (2082567043) 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, 165228 + ... + 177384.

It is an arithmetic number, because the mean of its divisors is an integer number (97361264).

Almost surely, 2^2082567042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082567042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336670336).

2082567042 is an abundant number, since it is smaller than the sum of its proper divisors (2590773630).

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

2082567042 is a wasteful number, since it uses less digits than its factorization.

2082567042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12503 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2082567042 is about 45635.1513857465. The cubic root of 2082567042 is about 1277.0257771125.

The spelling of 2082567042 in words is "two billion, eighty-two million, five hundred sixty-seven thousand, forty-two".