2567748048 has 80 divisors (see below), whose sum is σ = 6717504576. Its totient is φ = 845107200.

The previous prime is 2567748047. The next prime is 2567748061. The reversal of 2567748048 is 8408477652.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567748047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3262311 + ... + 3263097.

Almost surely, 2^2567748048 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 2567748048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358752288).

2567748048 is an abundant number, since it is smaller than the sum of its proper divisors (4149756528).

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

2567748048 is a wasteful number, since it uses less digits than its factorization.

2567748048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The square root of 2567748048 is about 50672.9518382342. The cubic root of 2567748048 is about 1369.3594689847.

The spelling of 2567748048 in words is "two billion, five hundred sixty-seven million, seven hundred forty-eight thousand, forty-eight".