2082416958 has 48 divisors (see below), whose sum is σ = 4720440240. Its totient is φ = 680243616.

The previous prime is 2082416923. The next prime is 2082416969. The reversal of 2082416958 is 8596142802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440860 + ... + 2441712.

It is an arithmetic number, because the mean of its divisors is an integer number (98342505).

Almost surely, 2^2082416958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082416958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360220120).

2082416958 is an abundant number, since it is smaller than the sum of its proper divisors (2638023282).

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

2082416958 is an frugal number, since it uses more digits than its factorization.

2082416958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2082416958 is about 45633.5069658250. The cubic root of 2082416958 is about 1276.9950993100.

The spelling of 2082416958 in words is "two billion, eighty-two million, four hundred sixteen thousand, nine hundred fifty-eight".