2042560 has 56 divisors (see below), whose sum is σ = 5248656. Its totient is φ = 752640.

The previous prime is 2042549. The next prime is 2042581. The reversal of 2042560 is 652402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3915 + ... + 4405.

It is an arithmetic number, because the mean of its divisors is an integer number (93726).

2^2042560 is an apocalyptic number.

2042560 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 2042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624328).

2042560 is an abundant number, since it is smaller than the sum of its proper divisors (3206096).

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

2042560 is a wasteful number, since it uses less digits than its factorization.

2042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2042560 is about 1429.1815839843. The cubic root of 2042560 is about 126.8795435454.

Adding to 2042560 its reverse (652402), we get a palindrome (2694962).

The spelling of 2042560 in words is "two million, forty-two thousand, five hundred sixty".