2053680 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 532224.

The previous prime is 2053673. The next prime is 2053699. The reversal of 2053680 is 863502.

2053680 = T₁₆ + T₁₇ + ... + T₂₃₀.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2053680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10221 + ... + 10419.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

2^2053680 is an apocalyptic number.

2053680 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 2053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2053680 is an abundant number, since it is smaller than the sum of its proper divisors (4493520).

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

2053680 is a wasteful number, since it uses less digits than its factorization.

2053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2053680 is about 1433.0666418558. The cubic root of 2053680 is about 127.1093773252.

The spelling of 2053680 in words is "two million, fifty-three thousand, six hundred eighty".