2059680 has 96 divisors (see below), whose sum is σ = 7426944. Its totient is φ = 470016.

The previous prime is 2059661. The next prime is 2059697. The reversal of 2059680 is 869502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054 + ... + 3666.

It is an arithmetic number, because the mean of its divisors is an integer number (77364).

2^2059680 is an apocalyptic number.

2059680 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 2059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713472).

2059680 is an abundant number, since it is smaller than the sum of its proper divisors (5367264).

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

2059680 is a wasteful number, since it uses less digits than its factorization.

2059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2059680 is about 1435.1585278289. The cubic root of 2059680 is about 127.2330439052.

The spelling of 2059680 in words is "two million, fifty-nine thousand, six hundred eighty".