2567887842 has 128 divisors (see below), whose sum is σ = 6074611200. Its totient is φ = 716451840.

The previous prime is 2567887837. The next prime is 2567887843. The reversal of 2567887842 is 2487887652.

It is not an unprimeable number, because it can be changed into a prime (2567887843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4286659 + ... + 4287257.

It is an arithmetic number, because the mean of its divisors is an integer number (47457900).

Almost surely, 2^2567887842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567887842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037305600).

2567887842 is an abundant number, since it is smaller than the sum of its proper divisors (3506723358).

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

2567887842 is a wasteful number, since it uses less digits than its factorization.

2567887842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its digits is 12042240, while the sum is 57.

The square root of 2567887842 is about 50674.3311944026. The cubic root of 2567887842 is about 1369.3843188739.

The spelling of 2567887842 in words is "two billion, five hundred sixty-seven million, eight hundred eighty-seven thousand, eight hundred forty-two".