2045520 has 80 divisors (see below), whose sum is σ = 7053120. Its totient is φ = 544896.

The previous prime is 2045509. The next prime is 2045539. The reversal of 2045520 is 255402.

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 (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2045493 and 2045502.

It is a congruent number.

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, 1687 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (88164).

2^2045520 is an apocalyptic number.

2045520 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 2045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526560).

2045520 is an abundant number, since it is smaller than the sum of its proper divisors (5007600).

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

2045520 is a wasteful number, since it uses less digits than its factorization.

2045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2045520 is about 1430.2167667875. The cubic root of 2045520 is about 126.9408036271.

The spelling of 2045520 in words is "two million, forty-five thousand, five hundred twenty".