2567888040 has 128 divisors (see below), whose sum is σ = 7796736000. Its totient is φ = 676558080.

The previous prime is 2567888003. The next prime is 2567888047. The reversal of 2567888040 is 408887652.

It is not an unprimeable number, because it can be changed into a prime (2567888047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4560799 + ... + 4561361.

It is an arithmetic number, because the mean of its divisors is an integer number (60912000).

Almost surely, 2^2567888040 is an apocalyptic number.

2567888040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898368000).

2567888040 is an abundant number, since it is smaller than the sum of its proper divisors (5228847960).

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

2567888040 is a wasteful number, since it uses less digits than its factorization.

2567888040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 2567888040 is about 50674.3331480544. Note that the first 3 decimals coincide. The cubic root of 2567888040 is about 1369.3843540699.

The spelling of 2567888040 in words is "two billion, five hundred sixty-seven million, eight hundred eighty-eight thousand, forty".