2082464128 has 64 divisors (see below), whose sum is σ = 4330609920. Its totient is φ = 996536320.

The previous prime is 2082464123. The next prime is 2082464129. The reversal of 2082464128 is 8214642802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082464123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274401 + ... + 281887.

It is an arithmetic number, because the mean of its divisors is an integer number (67665780).

Almost surely, 2^2082464128 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 2082464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

2082464128 is an abundant number, since it is smaller than the sum of its proper divisors (2248145792).

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

2082464128 is an equidigital number, since it uses as much as digits as its factorization.

2082464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2082464128 is about 45634.0237980391. The cubic root of 2082464128 is about 1277.0047412157.

The spelling of 2082464128 in words is "two billion, eighty-two million, four hundred sixty-four thousand, one hundred twenty-eight".