2567642 has 16 divisors (see below), whose sum is σ = 4802112. Its totient is φ = 1000320.

The previous prime is 2567639. The next prime is 2567647. The reversal of 2567642 is 2467652.

It is a junction number, because it is equal to n+sod(n) for n = 2567599 and 2567608.

It is not an unprimeable number, because it can be changed into a prime (2567647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8183 + ... + 8490.

It is an arithmetic number, because the mean of its divisors is an integer number (300132).

2^2567642 is an apocalyptic number.

2567642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2567642 is a deficient number, since it is larger than the sum of its proper divisors (2234470).

2567642 is a wasteful number, since it uses less digits than its factorization.

2567642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16693.

The product of its digits is 20160, while the sum is 32.

The square root of 2567642 is about 1602.3863454236. The cubic root of 2567642 is about 136.9340617209.

The spelling of 2567642 in words is "two million, five hundred sixty-seven thousand, six hundred forty-two".