2083520 has 56 divisors (see below), whose sum is σ = 5266944. Its totient is φ = 782336.

The previous prime is 2083519. The next prime is 2083531. The reversal of 2083520 is 253802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2083492 and 2083501.

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 7 ways as a sum of consecutive naturals, for example, 5249 + ... + 5631.

2^2083520 is an apocalyptic number.

2083520 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 2083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472).

2083520 is an abundant number, since it is smaller than the sum of its proper divisors (3183424).

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

2083520 is a wasteful number, since it uses less digits than its factorization.

2083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2083520 is about 1443.4403347558. The cubic root of 2083520 is about 127.7220531364.

The spelling of 2083520 in words is "two million, eighty-three thousand, five hundred twenty".