2045680 has 80 divisors (see below), whose sum is σ = 5874624. Its totient is φ = 645120.

The previous prime is 2045677. The next prime is 2045699. The reversal of 2045680 is 865402.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 7140 + ... + 7420.

2^2045680 is an apocalyptic number.

2045680 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 2045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937312).

2045680 is an abundant number, since it is smaller than the sum of its proper divisors (3828944).

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

2045680 is a wasteful number, since it uses less digits than its factorization.

2045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2045680 is about 1430.2727012706. The cubic root of 2045680 is about 126.9441132988.

The spelling of 2045680 in words is "two million, forty-five thousand, six hundred eighty".