2042252560 has 20 divisors (see below), whose sum is σ = 4748237388. Its totient is φ = 816900992.

The previous prime is 2042252549. The next prime is 2042252579. The reversal of 2042252560 is 652522402.

It can be written as a sum of positive squares in 2 ways, for example, as 654541056 + 1387711504 = 25584^2 + 37252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12763999 + ... + 12764158.

Almost surely, 2^2042252560 is an apocalyptic number.

2042252560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042252560 is an abundant number, since it is smaller than the sum of its proper divisors (2705984828).

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

2042252560 is a wasteful number, since it uses less digits than its factorization.

2042252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528170 (or 25528164 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2042252560 is about 45191.2885410452. The cubic root of 2042252560 is about 1268.7317738328.

Adding to 2042252560 its reverse (652522402), we get a palindrome (2694774962).

The spelling of 2042252560 in words is "two billion, forty-two million, two hundred fifty-two thousand, five hundred sixty".