2049520 has 80 divisors (see below), whose sum is σ = 5544288. Its totient is φ = 696320.

The previous prime is 2049493. The next prime is 2049521. The reversal of 2049520 is 259402.

It is a happy number.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 2049491 and 2049500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14892 + ... + 15028.

2^2049520 is an apocalyptic number.

2049520 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 2049520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772144).

2049520 is an abundant number, since it is smaller than the sum of its proper divisors (3494768).

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

2049520 is a wasteful number, since it uses less digits than its factorization.

2049520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2049520 is about 1431.6144732434. The cubic root of 2049520 is about 127.0234937006.

The spelling of 2049520 in words is "two million, forty-nine thousand, five hundred twenty".