42002560 has 32 divisors (see below), whose sum is σ = 100413900. Its totient is φ = 16800768.

The previous prime is 42002557. The next prime is 42002581. The reversal of 42002560 is 6520024.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 322624 = 6456^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32175 + ... + 33454.

Almost surely, 2^42002560 is an apocalyptic number.

42002560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002560 is an abundant number, since it is smaller than the sum of its proper divisors (58411340).

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

42002560 is an equidigital number, since it uses as much as digits as its factorization.

42002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65648 (or 65636 counting only the distinct ones).

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

The square root of 42002560 is about 6480.9382036863. The cubic root of 42002560 is about 347.6097267485.

Adding to 42002560 its reverse (6520024), we get a palindrome (48522584).

The spelling of 42002560 in words is "forty-two million, two thousand, five hundred sixty".