2079680 has 56 divisors (see below), whose sum is σ = 5077968. Its totient is φ = 811008.

The previous prime is 2079653. The next prime is 2079709. The reversal of 2079680 is 869702.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 21392 + ... + 21488.

It is an arithmetic number, because the mean of its divisors is an integer number (90678).

2^2079680 is an apocalyptic number.

2079680 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 2079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538984).

2079680 is an abundant number, since it is smaller than the sum of its proper divisors (2998288).

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

2079680 is an equidigital number, since it uses as much as digits as its factorization.

2079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2079680 is about 1442.1095658791. The cubic root of 2079680 is about 127.6435394832.

The spelling of 2079680 in words is "two million, seventy-nine thousand, six hundred eighty".