2567860832 has 48 divisors (see below), whose sum is σ = 5193865152. Its totient is φ = 1248967680.

The previous prime is 2567860807. The next prime is 2567860837. The reversal of 2567860832 is 2380687652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567860837) 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, 478838 + ... + 484170.

It is an arithmetic number, because the mean of its divisors is an integer number (108205524).

Almost surely, 2^2567860832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567860832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596932576).

2567860832 is an abundant number, since it is smaller than the sum of its proper divisors (2626004320).

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

2567860832 is a wasteful number, since it uses less digits than its factorization.

2567860832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2567860832 is about 50674.0646879644. The cubic root of 2567860832 is about 1369.3795176258.

The spelling of 2567860832 in words is "two billion, five hundred sixty-seven million, eight hundred sixty thousand, eight hundred thirty-two".