2082745680 has 160 divisors (see below), whose sum is σ = 6762424320. Its totient is φ = 529267200.

The previous prime is 2082745669. The next prime is 2082745697. The reversal of 2082745680 is 865472802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981155 + ... + 1982205.

It is an arithmetic number, because the mean of its divisors is an integer number (42265152).

Almost surely, 2^2082745680 is an apocalyptic number.

2082745680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381212160).

2082745680 is an abundant number, since it is smaller than the sum of its proper divisors (4679678640).

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

2082745680 is a wasteful number, since it uses less digits than its factorization.

2082745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2082745680 is about 45637.1085850101. The cubic root of 2082745680 is about 1277.0622895518.

The spelling of 2082745680 in words is "two billion, eighty-two million, seven hundred forty-five thousand, six hundred eighty".