2081520 has 180 divisors, whose sum is σ = 8269560. Its totient is φ = 467712.

The previous prime is 2081491. The next prime is 2081537. The reversal of 2081520 is 251802.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2081493 and 2081502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35251 + ... + 35309.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

2^2081520 is an apocalyptic number.

2081520 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 2081520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

2081520 is an abundant number, since it is smaller than the sum of its proper divisors (6188040).

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

2081520 is a wasteful number, since it uses less digits than its factorization.

2081520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2081520 is about 1442.7473791347. The cubic root of 2081520 is about 127.6811726577.

It can be divided in two parts, 2081 and 520, that added together give a square (2601 = 51²).

The spelling of 2081520 in words is "two million, eighty-one thousand, five hundred twenty".